37720672 has 48 divisors (see below), whose sum is σ = 81892944. Its totient is φ = 16960000.

The previous prime is 37720591. The next prime is 37720679. The reversal of 37720672 is 27602773.

It is a super-2 number, since 2×37720672² = 2845698192263168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37720679) 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, 35022 + ... + 36082.

It is an arithmetic number, because the mean of its divisors is an integer number (1706103).

Almost surely, 2^37720672 is an apocalyptic number.

37720672 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 37720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40946472).

37720672 is an abundant number, since it is smaller than the sum of its proper divisors (44172272).

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

37720672 is a wasteful number, since it uses less digits than its factorization.

37720672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 37720672 is about 6141.7157211971. The cubic root of 37720672 is about 335.3717474167.

The spelling of 37720672 in words is "thirty-seven million, seven hundred twenty thousand, six hundred seventy-two".