37865072 has 40 divisors (see below), whose sum is σ = 84444000. Its totient is φ = 16111872.

The previous prime is 37865071. The next prime is 37865083. The reversal of 37865072 is 27056873.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37865071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15554 + ... + 17822.

It is an arithmetic number, because the mean of its divisors is an integer number (2111100).

Almost surely, 2^37865072 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 37865072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42222000).

37865072 is an abundant number, since it is smaller than the sum of its proper divisors (46578928).

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

37865072 is a wasteful number, since it uses less digits than its factorization.

37865072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2427 counting only the distinct ones).

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

The square root of 37865072 is about 6153.4601648178. The cubic root of 37865072 is about 335.7991524520.

The spelling of 37865072 in words is "thirty-seven million, eight hundred sixty-five thousand, seventy-two".