37525968 has 60 divisors (see below), whose sum is σ = 105463488. Its totient is φ = 12456000.

The previous prime is 37525967. The next prime is 37525973. The reversal of 37525968 is 86952573.

It is a happy number.

37525968 is a `hidden beast` number, since 3 + 7 + 52 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37525967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49593 + ... + 50343.

Almost surely, 2^37525968 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 37525968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52731744).

37525968 is an abundant number, since it is smaller than the sum of its proper divisors (67937520).

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

37525968 is a wasteful number, since it uses less digits than its factorization.

37525968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 37525968 is about 6125.8442683438. The cubic root of 37525968 is about 334.7937187021.

The spelling of 37525968 in words is "thirty-seven million, five hundred twenty-five thousand, nine hundred sixty-eight".