57330720 has 192 divisors, whose sum is σ = 209744640. Its totient is φ = 14598144.

The previous prime is 57330701. The next prime is 57330773. The reversal of 57330720 is 2703375.

It is a super-2 number, since 2×57330720² = 6573622911436800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99072 + ... + 99648.

It is an arithmetic number, because the mean of its divisors is an integer number (1092420).

Almost surely, 2^57330720 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 57330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320).

57330720 is an abundant number, since it is smaller than the sum of its proper divisors (152413920).

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

57330720 is a wasteful number, since it uses less digits than its factorization.

57330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 57330720 is about 7571.7052240562. The cubic root of 57330720 is about 385.5929918436.

The spelling of 57330720 in words is "fifty-seven million, three hundred thirty thousand, seven hundred twenty".