37389072 has 80 divisors (see below), whose sum is σ = 111104000. Its totient is φ = 10613376.

The previous prime is 37389047. The next prime is 37389073. The reversal of 37389072 is 27098373.

It is a self number, because there is not a number n which added to its sum of digits gives 37389072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37389073) 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, 74679 + ... + 75177.

It is an arithmetic number, because the mean of its divisors is an integer number (1388800).

Almost surely, 2^37389072 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 37389072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552000).

37389072 is an abundant number, since it is smaller than the sum of its proper divisors (73714928).

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

37389072 is a wasteful number, since it uses less digits than its factorization.

37389072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 37389072 is about 6114.6604157549. The cubic root of 37389072 is about 334.3861097074.

The spelling of 37389072 in words is "thirty-seven million, three hundred eighty-nine thousand, seventy-two".