57352 has 16 divisors (see below), whose sum is σ = 110160. Its totient is φ = 27984.

The previous prime is 57349. The next prime is 57367. The reversal of 57352 is 25375.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 483 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2⁵⁷³⁵² is an apocalyptic number.

It is an amenable number.

57352 is a deficient number, since it is larger than the sum of its proper divisors (52808).

57352 is a wasteful number, since it uses less digits than its factorization.

57352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its digits is 1050, while the sum is 22.

The square root of 57352 is about 239.4827759986. The cubic root of 57352 is about 38.5640694040.

It can be divided in two parts, 573 and 52, that added together give a 4-th power (625 = 5⁴).

The spelling of 57352 in words is "fifty-seven thousand, three hundred fifty-two".