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75 (number)

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75
  
76 →

Ordinal
  
75th(seventy-fifth)

Divisors
  
1, 3, 5, 15, 25, 75

Cardinal
  
seventy-five

Factorization
  
3 × 5

Roman numeral
  
LXXV

75 (seventy-five) is the natural number following 74 and preceding 76.

Contents

In mathematics

75 is:

  • the fourth ordered Bell number, and counts the number of weak orderings on a set of four items.
  • the sum of the first five pentagonal numbers, and therefore a pentagonal pyramidal number.
  • an enneagonal number.
  • a Keith number, because it recurs in a Fibonacci-like sequence started from its base 10 digits: 7, 5, 12, 17, 29, 46, 75...
  • a self number because there is no integer that added up to its own digits adds up to 75.
  • a palindromic number in bases 14 (5514) and 24 (3324).
  • a Harshad number in bases 3, 5, 6, 8, 11, 13, 15 and 16.

    • Excluding the infinite sets, there are 75 uniform polyhedra (or 76 if edges are allowed to coincide).

    In other fields

    Seventy-five is:

  • The atomic number of rhenium
  • The age limit for Canadian senators.
  • A common name for the Canon de 75 modèle 1897, a French World War 1 gun
  • The departement number of the city of Paris
  • Municipal Okrug 75, a municipal okrug in Frunzensky District of the federal city of St. Petersburg, Russia
  • The number of balls in a standard game of Bingo in the United States

    • References

    75 (number) Wikipedia
    (Text) CC BY-SA


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