37428672 has 56 divisors (see below), whose sum is σ = 99763072. Its totient is φ = 12384000.

The previous prime is 37428667. The next prime is 37428691. The reversal of 37428672 is 27682473.

It is a self number, because there is not a number n which added to its sum of digits gives 37428672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28347 + ... + 29637.

Almost surely, 2^37428672 is an apocalyptic number.

37428672 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 37428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49881536).

37428672 is an abundant number, since it is smaller than the sum of its proper divisors (62334400).

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

37428672 is a wasteful number, since it uses less digits than its factorization.

37428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 37428672 is about 6117.8976781244. The cubic root of 37428672 is about 334.5041211752.

The spelling of 37428672 in words is "thirty-seven million, four hundred twenty-eight thousand, six hundred seventy-two".