57537792 has 216 divisors, whose sum is σ = 190840104. Its totient is φ = 16515072.

The previous prime is 57537763. The next prime is 57537793. The reversal of 57537792 is 29773575.

It is a happy number.

57537792 is a `hidden beast` number, since 575 + 3 + 7 + 79 + 2 = 666.

57537792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 57517056 = 144^2 + 7584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57537793) 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, 509128 + ... + 509240.

It is an arithmetic number, because the mean of its divisors is an integer number (883519).

Almost surely, 2^57537792 is an apocalyptic number.

57537792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95420052).

57537792 is an abundant number, since it is smaller than the sum of its proper divisors (133302312).

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

57537792 is a wasteful number, since it uses less digits than its factorization.

57537792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its digits is 463050, while the sum is 45.

The square root of 57537792 is about 7585.3669654144. The cubic root of 57537792 is about 386.0566732898.

The spelling of 57537792 in words is "fifty-seven million, five hundred thirty-seven thousand, seven hundred ninety-two".