37982072 has 32 divisors (see below), whose sum is σ = 74677680. Its totient is φ = 18090240.

The previous prime is 37982071. The next prime is 37982107. The reversal of 37982072 is 27028973.

37982072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37982071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12758 + ... + 15450.

Almost surely, 2^37982072 is an apocalyptic number.

It is an amenable number.

37982072 is a deficient number, since it is larger than the sum of its proper divisors (36695608).

37982072 is a wasteful number, since it uses less digits than its factorization.

37982072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 37982072 is about 6162.9596785960. The cubic root of 37982072 is about 336.1446608761.

The spelling of 37982072 in words is "thirty-seven million, nine hundred eighty-two thousand, seventy-two".