56772 has 36 divisors (see below), whose sum is σ = 152880. Its totient is φ = 17712.

The previous prime is 56767. The next prime is 56773. The reversal of 56772 is 27765.

56772 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56773) by changing a digit.

56772 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 11 ways as a sum of consecutive naturals, for example, 643 + ... + 725.

2⁵⁶⁷⁷² 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 56772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

56772 is an abundant number, since it is smaller than the sum of its proper divisors (96108).

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

56772 is a wasteful number, since it uses less digits than its factorization.

56772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 56772 is about 238.2687558200. The cubic root of 56772 is about 38.4336293941.

It can be divided in two parts, 56 and 772, that added together give a palindrome (828).

The spelling of 56772 in words is "fifty-six thousand, seven hundred seventy-two".