37066872 has 64 divisors (see below), whose sum is σ = 100944000. Its totient is φ = 11297664.

The previous prime is 37066871. The next prime is 37066877. The reversal of 37066872 is 27866073.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 37066872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37066871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11823 + ... + 14625.

It is an arithmetic number, because the mean of its divisors is an integer number (1577250).

Almost surely, 2^37066872 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 37066872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50472000).

37066872 is an abundant number, since it is smaller than the sum of its proper divisors (63877128).

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

37066872 is a wasteful number, since it uses less digits than its factorization.

37066872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 37066872 is about 6088.2568933973. The cubic root of 37066872 is about 333.4228141996.

The spelling of 37066872 in words is "thirty-seven million, sixty-six thousand, eight hundred seventy-two".