71875 has 12 divisors (see below), whose sum is σ = 93744. Its totient is φ = 55000.

The previous prime is 71867. The next prime is 71879. The reversal of 71875 is 57817.

It is a happy number.

It is not a de Polignac number, because 71875 - 2³ = 71867 is a prime.

It is an Ulam number.

It is a Duffinian number.

Its product of digits (1960) is a multiple of the sum of its prime divisors (28).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (71879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3114 + ... + 3136.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷¹⁸⁷⁵ is an apocalyptic number.

71875 is a deficient number, since it is larger than the sum of its proper divisors (21869).

71875 is an frugal number, since it uses more digits than its factorization.

71875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 28 counting only the distinct ones).

The product of its digits is 1960, while the sum is 28.

The square root of 71875 is about 268.0951323691. The cubic root of 71875 is about 41.5775874710.

It can be divided in two parts, 71 and 875, that added together give a triangular number (946 = T₄₃).

The spelling of 71875 in words is "seventy-one thousand, eight hundred seventy-five".