37879872 has 56 divisors (see below), whose sum is σ = 101474016. Its totient is φ = 12469248.

The previous prime is 37879867. The next prime is 37879879. The reversal of 37879872 is 27897873.

It is not an unprimeable number, because it can be changed into a prime (37879879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14748 + ... + 17124.

It is an arithmetic number, because the mean of its divisors is an integer number (1812036).

Almost surely, 2^37879872 is an apocalyptic number.

37879872 is a gapful number since it is divisible by the number (32) 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 37879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50737008).

37879872 is an abundant number, since it is smaller than the sum of its proper divisors (63594144).

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

37879872 is a wasteful number, since it uses less digits than its factorization.

37879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2465 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 37879872 is about 6154.6626227601. The cubic root of 37879872 is about 335.8428970767.

The spelling of 37879872 in words is "thirty-seven million, eight hundred seventy-nine thousand, eight hundred seventy-two".