56712 has 32 divisors (see below), whose sum is σ = 151200. Its totient is φ = 17664.

The previous prime is 56711. The next prime is 56713. The reversal of 56712 is 21765.

56712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56711) and next prime (56713).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁵⁶⁷¹² 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 56712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

56712 is an abundant number, since it is smaller than the sum of its proper divisors (94488).

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

56712 is a wasteful number, since it uses less digits than its factorization.

56712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 56712 is about 238.1428142943. The cubic root of 56712 is about 38.4200849789.

The spelling of 56712 in words is "fifty-six thousand, seven hundred twelve".