37993872 has 80 divisors (see below), whose sum is σ = 113782400. Its totient is φ = 10699776.

The previous prime is 37993871. The next prime is 37993903. The reversal of 37993872 is 27839973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37993871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23754 + ... + 25302.

It is an arithmetic number, because the mean of its divisors is an integer number (1422280).

Almost surely, 2^37993872 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 37993872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56891200).

37993872 is an abundant number, since it is smaller than the sum of its proper divisors (75788528).

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

37993872 is a wasteful number, since it uses less digits than its factorization.

37993872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 37993872 is about 6163.9169364942. The cubic root of 37993872 is about 336.1794676160.

The spelling of 37993872 in words is "thirty-seven million, nine hundred ninety-three thousand, eight hundred seventy-two".