56756 has 12 divisors (see below), whose sum is σ = 113568. Its totient is φ = 24312.

The previous prime is 56747. The next prime is 56767. The reversal of 56756 is 65765.

56756 is an admirable number.

56756 is a modest number, since divided by 756 gives 56 as remainder.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

56756 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, 986 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2⁵⁶⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

56756 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (56784).

56756 is a wasteful number, since it uses less digits than its factorization.

56756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2036 counting only the distinct ones).

The product of its digits is 6300, while the sum is 29.

The square root of 56756 is about 238.2351779230. The cubic root of 56756 is about 38.4300184835.

Subtracting 56756 from its reverse (65765), we obtain a palindrome (9009).

The spelling of 56756 in words is "fifty-six thousand, seven hundred fifty-six".