57532752 has 120 divisors (see below), whose sum is σ = 174096000. Its totient is φ = 17681664.

The previous prime is 57532733. The next prime is 57532759. The reversal of 57532752 is 25723575.

It is a happy number.

57532752 is a `hidden beast` number, since 57 + 532 + 75 + 2 = 666.

57532752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57532759) 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 23 ways as a sum of consecutive naturals, for example, 95749 + ... + 96347.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 2^57532752 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 57532752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048000).

57532752 is an abundant number, since it is smaller than the sum of its proper divisors (116563248).

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

57532752 is a wasteful number, since it uses less digits than its factorization.

57532752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its digits is 73500, while the sum is 36.

The square root of 57532752 is about 7585.0347395381. The cubic root of 57532752 is about 386.0454008005.

The spelling of 57532752 in words is "fifty-seven million, five hundred thirty-two thousand, seven hundred fifty-two".