37872072 has 96 divisors (see below), whose sum is σ = 118198080. Its totient is φ = 10730880.

The previous prime is 37872067. The next prime is 37872089. The reversal of 37872072 is 27027873.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81922 + ... + 82382.

It is an arithmetic number, because the mean of its divisors is an integer number (1231230).

Almost surely, 2^37872072 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 37872072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59099040).

37872072 is an abundant number, since it is smaller than the sum of its proper divisors (80326008).

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

37872072 is a wasteful number, since it uses less digits than its factorization.

37872072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 37872072 is about 6154.0289242089. The cubic root of 37872072 is about 335.8198438976.

The spelling of 37872072 in words is "thirty-seven million, eight hundred seventy-two thousand, seventy-two".