37960672 has 24 divisors (see below), whose sum is σ = 77985936. Its totient is φ = 18154752.

The previous prime is 37960669. The next prime is 37960679. The reversal of 37960672 is 27606973.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37960679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25053 + ... + 26524.

It is an arithmetic number, because the mean of its divisors is an integer number (3249414).

Almost surely, 2^37960672 is an apocalyptic number.

37960672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37960672 is an abundant number, since it is smaller than the sum of its proper divisors (40025264).

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

37960672 is a wasteful number, since it uses less digits than its factorization.

37960672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51610 (or 51602 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 37960672 is about 6161.2232551661. The cubic root of 37960672 is about 336.0815183917.

The spelling of 37960672 in words is "thirty-seven million, nine hundred sixty thousand, six hundred seventy-two".