72370188 has 72 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 21742560.

The previous prime is 72370147. The next prime is 72370219. The reversal of 72370188 is 88107327.

It is a super-2 number, since 2×72370188² = 10474888222310688, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49573 + ... + 51011.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2^72370188 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 72370188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

72370188 is an abundant number, since it is smaller than the sum of its proper divisors (128907252).

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

72370188 is a wasteful number, since it uses less digits than its factorization.

72370188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 72370188 is about 8507.0669446055. The cubic root of 72370188 is about 416.7285295525.

The spelling of 72370188 in words is "seventy-two million, three hundred seventy thousand, one hundred eighty-eight".