56392 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 22464.

The previous prime is 56383. The next prime is 56393. The reversal of 56392 is 29365.

Its product of digits (1620) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (56393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038 + ... + 1090.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁵⁶³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

56392 is an abundant number, since it is smaller than the sum of its proper divisors (73208).

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

56392 is a wasteful number, since it uses less digits than its factorization.

56392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 56392 is about 237.4699981050. The cubic root of 56392 is about 38.3476862866.

It can be divided in two parts, 56 and 392, that multiplied together give a cube (21952 = 28³).

The spelling of 56392 in words is "fifty-six thousand, three hundred ninety-two".