75908 has 12 divisors (see below), whose sum is σ = 151872. Its totient is φ = 32520.

The previous prime is 75883. The next prime is 75913. The reversal of 75908 is 80957.

It is a happy number.

75908 is an admirable number.

It is an unprimeable number.

75908 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 3 ways as a sum of consecutive naturals, for example, 1328 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (12656).

2⁷⁵⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

75908 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75936).

75908 is a wasteful number, since it uses less digits than its factorization.

75908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 75908 is about 275.5140649767. The cubic root of 75908 is about 42.3411370214.

The spelling of 75908 in words is "seventy-five thousand, nine hundred eight".