75872 has 12 divisors (see below), whose sum is σ = 149436. Its totient is φ = 37920.

The previous prime is 75869. The next prime is 75883. The reversal of 75872 is 27857.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1154 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (12453).

2⁷⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

75872 is a deficient number, since it is larger than the sum of its proper divisors (73564).

75872 is a wasteful number, since it uses less digits than its factorization.

75872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2373 counting only the distinct ones).

The product of its digits is 3920, while the sum is 29.

The square root of 75872 is about 275.4487248110. The cubic root of 75872 is about 42.3344424176.

The spelling of 75872 in words is "seventy-five thousand, eight hundred seventy-two".