56757312 has 84 divisors (see below), whose sum is σ = 163805616. Its totient is φ = 18789120.

The previous prime is 56757299. The next prime is 56757317. The reversal of 56757312 is 21375765.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56757317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121303 + ... + 121769.

Almost surely, 2^56757312 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 56757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81902808).

56757312 is an abundant number, since it is smaller than the sum of its proper divisors (107048304).

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

56757312 is a wasteful number, since it uses less digits than its factorization.

56757312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 56757312 is about 7533.7448855134. The cubic root of 56757312 is about 384.3031460372.

The spelling of 56757312 in words is "fifty-six million, seven hundred fifty-seven thousand, three hundred twelve".