57392720 has 150 divisors (see below), whose sum is σ = 170745210. Its totient is φ = 17888640.

The previous prime is 57392717. The next prime is 57392761. The reversal of 57392720 is 2729375.

It can be written as a sum of positive squares in only one way, i.e., 45914176 + 11478544 = 6776^2 + 3388^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5217515 + ... + 5217525.

Almost surely, 2^57392720 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 57392720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85372605).

57392720 is an abundant number, since it is smaller than the sum of its proper divisors (113352490).

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

57392720 is an equidigital number, since it uses as much as digits as its factorization.

57392720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 57392720 is about 7575.7983077693. The cubic root of 57392720 is about 385.7319409255.

The spelling of 57392720 in words is "fifty-seven million, three hundred ninety-two thousand, seven hundred twenty".