37720992 has 24 divisors (see below), whose sum is σ = 99017856. Its totient is φ = 12573632.

The previous prime is 37720987. The next prime is 37721009. The reversal of 37720992 is 29902773.

37720992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 37720992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196368 + ... + 196559.

It is an arithmetic number, because the mean of its divisors is an integer number (4125744).

Almost surely, 2^37720992 is an apocalyptic number.

37720992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37720992 is an abundant number, since it is smaller than the sum of its proper divisors (61296864).

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

37720992 is a wasteful number, since it uses less digits than its factorization.

37720992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392940 (or 392932 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 37720992 is about 6141.7417724942. The cubic root of 37720992 is about 335.3726957795.

The spelling of 37720992 in words is "thirty-seven million, seven hundred twenty thousand, nine hundred ninety-two".