57672 has 40 divisors (see below), whose sum is σ = 163350. Its totient is φ = 19008.

The previous prime is 57667. The next prime is 57679. The reversal of 57672 is 27675.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 2916 = 234^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (57679) by changing a digit.

57672 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 9 ways as a sum of consecutive naturals, for example, 604 + ... + 692.

2⁵⁷⁶⁷² 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 57672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81675).

57672 is an abundant number, since it is smaller than the sum of its proper divisors (105678).

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

57672 is a wasteful number, since it uses less digits than its factorization.

57672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

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

The square root of 57672 is about 240.1499531543. The cubic root of 57672 is about 38.6356601738.

It can be divided in two parts, 57 and 672, that added together give a 6-th power (729 = 3⁶).

The spelling of 57672 in words is "fifty-seven thousand, six hundred seventy-two".