37800972 has 96 divisors (see below), whose sum is σ = 109347840. Its totient is φ = 11194560.

The previous prime is 37800943. The next prime is 37800991. The reversal of 37800972 is 27900873.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55498 + ... + 56174.

It is an arithmetic number, because the mean of its divisors is an integer number (1139040).

Almost surely, 2^37800972 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 37800972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54673920).

37800972 is an abundant number, since it is smaller than the sum of its proper divisors (71546868).

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

37800972 is a wasteful number, since it uses less digits than its factorization.

37800972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 37800972 is about 6148.2495069735. The cubic root of 37800972 is about 335.6095592285.

Subtracting from 37800972 its reverse (27900873), we obtain a palindrome (9900099).

The spelling of 37800972 in words is "thirty-seven million, eight hundred thousand, nine hundred seventy-two".