57572064 has 144 divisors (see below), whose sum is σ = 189287280. Its totient is φ = 16404480.

The previous prime is 57572051. The next prime is 57572083. The reversal of 57572064 is 46027575.

57572064 is a `hidden beast` number, since 575 + 7 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53322 + ... + 54390.

It is an arithmetic number, because the mean of its divisors is an integer number (1314495).

Almost surely, 2^57572064 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 57572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94643640).

57572064 is an abundant number, since it is smaller than the sum of its proper divisors (131715216).

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

57572064 is a wasteful number, since it uses less digits than its factorization.

57572064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57572064 is about 7587.6257155977. The cubic root of 57572064 is about 386.1333087657.

The spelling of 57572064 in words is "fifty-seven million, five hundred seventy-two thousand, sixty-four".