75952 has 20 divisors (see below), whose sum is σ = 151776. Its totient is φ = 36800.

The previous prime is 75941. The next prime is 75967. The reversal of 75952 is 25957.

Its product of digits (3150) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 75952.

It is a congruent number.

It is an unprimeable number.

75952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 702 + ... + 802.

2⁷⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

75952 is a deficient number, since it is larger than the sum of its proper divisors (75824).

75952 is a wasteful number, since it uses less digits than its factorization.

75952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its digits is 3150, while the sum is 28.

The square root of 75952 is about 275.5939041416. The cubic root of 75952 is about 42.3493164412.

The spelling of 75952 in words is "seventy-five thousand, nine hundred fifty-two".