75904 has 16 divisors (see below), whose sum is σ = 151470. Its totient is φ = 37888.

The previous prime is 75883. The next prime is 75913. The reversal of 75904 is 40957.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 14400 = 248^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×75904² = 11522834432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169 + ... + 424.

2⁷⁵⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

75904 is a deficient number, since it is larger than the sum of its proper divisors (75566).

75904 is an equidigital number, since it uses as much as digits as its factorization.

75904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 75904 is about 275.5068057236. The cubic root of 75904 is about 42.3403932811.

It can be divided in two parts, 75 and 904, that added together give a palindrome (979).

The spelling of 75904 in words is "seventy-five thousand, nine hundred four".