57525972 has 96 divisors (see below), whose sum is σ = 160161792. Its totient is φ = 15728256.

The previous prime is 57525961. The next prime is 57525973. The reversal of 57525972 is 27952575.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57525973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257853 + ... + 258075.

It is an arithmetic number, because the mean of its divisors is an integer number (1668352).

Almost surely, 2^57525972 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 57525972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80080896).

57525972 is an abundant number, since it is smaller than the sum of its proper divisors (102635820).

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

57525972 is a wasteful number, since it uses less digits than its factorization.

57525972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 220500, while the sum is 42.

The square root of 57525972 is about 7584.5877936774. The cubic root of 57525972 is about 386.0302355798.

The spelling of 57525972 in words is "fifty-seven million, five hundred twenty-five thousand, nine hundred seventy-two".