57721164 has 48 divisors (see below), whose sum is σ = 142356480. Its totient is φ = 18152640.

The previous prime is 57721127. The next prime is 57721177. The reversal of 57721164 is 46112775.

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 15 ways as a sum of consecutive naturals, for example, 86994 + ... + 87654.

It is an arithmetic number, because the mean of its divisors is an integer number (2965760).

Almost surely, 2^57721164 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 57721164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71178240).

57721164 is an abundant number, since it is smaller than the sum of its proper divisors (84635316).

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

57721164 is a wasteful number, since it uses less digits than its factorization.

57721164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1068 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 57721164 is about 7597.4445703802. Note that the first 3 decimals coincide. The cubic root of 57721164 is about 386.4663571423.

It can be divided in two parts, 577211 and 64, that added together give a triangular number (577275 = T₁₀₇₄).

The spelling of 57721164 in words is "fifty-seven million, seven hundred twenty-one thousand, one hundred sixty-four".