37968972 has 12 divisors (see below), whose sum is σ = 88594296. Its totient is φ = 12656320.

The previous prime is 37968971. The next prime is 37968989. The reversal of 37968972 is 27986973.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (37968971) 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 3 ways as a sum of consecutive naturals, for example, 1582029 + ... + 1582052.

It is an arithmetic number, because the mean of its divisors is an integer number (7382858).

Almost surely, 2^37968972 is an apocalyptic number.

It is an amenable number.

37968972 is an abundant number, since it is smaller than the sum of its proper divisors (50625324).

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

37968972 is a wasteful number, since it uses less digits than its factorization.

37968972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164088 (or 3164086 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 37968972 is about 6161.8967858931. The cubic root of 37968972 is about 336.1060110502.

The spelling of 37968972 in words is "thirty-seven million, nine hundred sixty-eight thousand, nine hundred seventy-two".