56352 has 24 divisors (see below), whose sum is σ = 148176. Its totient is φ = 18752.

The previous prime is 56333. The next prime is 56359. The reversal of 56352 is 25365.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56359) by changing a digit.

56352 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, 198 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

2⁵⁶³⁵² is an apocalyptic number.

It is an amenable number.

56352 is an abundant number, since it is smaller than the sum of its proper divisors (91824).

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 (74088).

56352 is a wasteful number, since it uses less digits than its factorization.

56352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 56352 is about 237.3857619993. The cubic root of 56352 is about 38.3386172090.

The spelling of 56352 in words is "fifty-six thousand, three hundred fifty-two".