57720512 has 56 divisors (see below), whose sum is σ = 120944640. Its totient is φ = 27290880.

The previous prime is 57720511. The next prime is 57720517. The reversal of 57720512 is 21502775.

57720512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57720511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92939 + ... + 93557.

Almost surely, 2^57720512 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 57720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60472320).

57720512 is an abundant number, since it is smaller than the sum of its proper divisors (63224128).

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

57720512 is a wasteful number, since it uses less digits than its factorization.

57720512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 57720512 is about 7597.4016610944. The cubic root of 57720512 is about 386.4649020030.

The spelling of 57720512 in words is "fifty-seven million, seven hundred twenty thousand, five hundred twelve".