37404072 has 64 divisors (see below), whose sum is σ = 108432000. Its totient is φ = 11924352.

The previous prime is 37404071. The next prime is 37404083. The reversal of 37404072 is 27040473.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (37404071) 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, 1204 + ... + 8732.

It is an arithmetic number, because the mean of its divisors is an integer number (1694250).

Almost surely, 2^37404072 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 37404072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54216000).

37404072 is an abundant number, since it is smaller than the sum of its proper divisors (71027928).

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

37404072 is a wasteful number, since it uses less digits than its factorization.

37404072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7567 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 37404072 is about 6115.8868531064. The cubic root of 37404072 is about 334.4308208202.

The spelling of 37404072 in words is "thirty-seven million, four hundred four thousand, seventy-two".