57724500 has 96 divisors (see below), whose sum is σ = 174021120. Its totient is φ = 14851200.

The previous prime is 57724493. The next prime is 57724519. The reversal of 57724500 is 542775.

57724500 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 (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42837 + ... + 44163.

It is an arithmetic number, because the mean of its divisors is an integer number (1812720).

Almost surely, 2^57724500 is an apocalyptic number.

57724500 is a gapful number since it is divisible by the number (50) 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 57724500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87010560).

57724500 is an abundant number, since it is smaller than the sum of its proper divisors (116296620).

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

57724500 is a wasteful number, since it uses less digits than its factorization.

57724500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 57724500 is about 7597.6641147132. The cubic root of 57724500 is about 386.4738022851.

The spelling of 57724500 in words is "fifty-seven million, seven hundred twenty-four thousand, five hundred".