37972704 has 144 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 9841920.

The previous prime is 37972703. The next prime is 37972721. The reversal of 37972704 is 40727973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37972703) 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 23 ways as a sum of consecutive naturals, for example, 81079 + ... + 81545.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^37972704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

37972704 is an abundant number, since it is smaller than the sum of its proper divisors (87511200).

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

37972704 is a wasteful number, since it uses less digits than its factorization.

37972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 37972704 is about 6162.1996072831. The cubic root of 37972704 is about 336.1170227304.

The spelling of 37972704 in words is "thirty-seven million, nine hundred seventy-two thousand, seven hundred four".