Numberwise

1872

1872 is the year the first international football match was played.

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Where 1872 fits

Where 1872 fits: Mathematics, History, Related numbersMathematics: Harshad (Niven) number. History: Historical years. Related numbers: 1891.MathematicsHarshad (Niven) numberHistoryHistorical yearsRelated numbers18911872
1872 connects to 3 worlds: mathematics, history, related numbers.

Why 1872 is special

Scotland and England drew nil-nil in Glasgow. It is the oldest fixture in international football, and the passing style Scottish teams developed shaped how the game came to be played.

Same number, different meanings

How 1872 is understood across different contexts — never implying one meaning because of another.

1872 is part of

Factors & digit properties

Divisors (30)
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872
Prime factorisation
2^4 × 3^2 × 13
Digit sum
18
Digital root
9

Representations

Decimal
1872
Scientific notation
1.872 × 10^3

Roman numerals

M D C C C L X X I I

Binary

1 1 1 0 1 0 1 0 0 0 0

1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,872

Octal

3 5 2 0

3 × 512 + 5 × 64 + 2 × 8 + 0 × 1 = 1,872

Hexadecimal

7 5 0

7 × 256 + 5 × 16 + 0 × 1 = 1,872

Read as powers of two: 1,024 + 512 + 256 + 64 + 16 = 1,872.

In historical numeral systems

Egyptian

1 lotus, 8 coils of rope, 7 hobbles, 2 strokes

1 × 1,000 + 8 × 100 + 7 × 10 + 2 × 1 = 1,872. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

3 corner wedges + 1 vertical wedge (sixties place), 1 corner wedge + 2 vertical wedges (units place)

31 × 60 + 12 = 1872. Places are separated by a space on the tablet, with the higher place written first.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1872 is a year in the 19th century, in the 1870s.

1872 is a year in the 19th century, in the 1870s.

Connection
The first international football match was played in 1872 and basketball was invented in 1891. Codified team sport spread from Britain to North America within a generation.

The first international football match was played in 1872 and basketball was invented in 1891. Codified team sport spread from Britain to North America within a generation.

View 1891

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1891
    why?

    Strength 0.50, confidence "high".

How is 1872 connected to another number? →

History

  • In 1872, the first international football match was played, between Scotland and England, and finished goalless (Scotland).

    DocumentedHistoryGeography: ScotlandPeriod: 1872

Sport

  • Scotland against England in 1872 is the first international football match. Scottish teams' emphasis on passing rather than individual dribbling spread from these fixtures and became the standard form of the game.

    DocumentedSportGeography: Scotland and EnglandPeriod: 1872

Common questions

Is 1872 a prime number?

No, 1872 is not prime.

What are the factors of 1872?

The factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872.

What is 1872 in Roman numerals?

1872 in Roman numerals is MDCCCLXXII.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026