57392 has 20 divisors (see below), whose sum is σ = 118296. Its totient is φ = 26880.

The previous prime is 57389. The next prime is 57397. The reversal of 57392 is 29375.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (57397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167 + ... + 377.

2⁵⁷³⁹² 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 57392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59148).

57392 is an abundant number, since it is smaller than the sum of its proper divisors (60904).

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

57392 is a wasteful number, since it uses less digits than its factorization.

57392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 57392 is about 239.5662747550. The cubic root of 57392 is about 38.5730327898.

The spelling of 57392 in words is "fifty-seven thousand, three hundred ninety-two".