57132 has 36 divisors (see below), whose sum is σ = 154840. Its totient is φ = 18216.

The previous prime is 57131. The next prime is 57139. The reversal of 57132 is 23175.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (57131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2473 + ... + 2495.

2⁵⁷¹³² 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 57132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77420).

57132 is an abundant number, since it is smaller than the sum of its proper divisors (97708).

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

57132 is a wasteful number, since it uses less digits than its factorization.

57132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 57132 is about 239.0230114445. The cubic root of 57132 is about 38.5146961380.

The spelling of 57132 in words is "fifty-seven thousand, one hundred thirty-two".