37872056 has 32 divisors (see below), whose sum is σ = 75530880. Its totient is φ = 17740800.

The previous prime is 37872031. The next prime is 37872059. The reversal of 37872056 is 65027873.

37872056 = 1531² + 1532² + ... + 1546².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37872059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37721 + ... + 38711.

It is an arithmetic number, because the mean of its divisors is an integer number (2360340).

Almost surely, 2^37872056 is an apocalyptic number.

It is an amenable number.

37872056 is a deficient number, since it is larger than the sum of its proper divisors (37658824).

37872056 is a wasteful number, since it uses less digits than its factorization.

37872056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 37872056 is about 6154.0276242474. The cubic root of 37872056 is about 335.8197966057.

The spelling of 37872056 in words is "thirty-seven million, eight hundred seventy-two thousand, fifty-six".