57072 has 40 divisors (see below), whose sum is σ = 156240. Its totient is φ = 17920.

The previous prime is 57059. The next prime is 57073. The reversal of 57072 is 27075.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57073) 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, 1372 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁵⁷⁰⁷² 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 57072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

57072 is an abundant number, since it is smaller than the sum of its proper divisors (99168).

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

57072 is a wasteful number, since it uses less digits than its factorization.

57072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 57072 is about 238.8974675462. The cubic root of 57072 is about 38.5012087100.

The spelling of 57072 in words is "fifty-seven thousand, seventy-two".