Number Gossip

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Unique Properties of 75

  • 75 is the smallest pandigital number in base 4: 75 is written as 1023 in base 4 and contains all the possible digits
  • 75 is the smallest numbers that is a sum of three distinct squares forming an arithmetic progression: 75 = 1 + 25 + 49
  • 75 is the smallest composite deficient number whose sum as well as product of aliquot divisors is a perfect square
  • There are 75 exceptional uniform polyhedra (that do not belong to infinite classes of prisms and antiprisms)

Common Properties of 75