72137604 has 144 divisors (see below), whose sum is σ = 225227520. Its totient is φ = 17720640.

The previous prime is 72137603. The next prime is 72137669. The reversal of 72137604 is 40673127.

It is not an unprimeable number, because it can be changed into a prime (72137603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122599 + ... + 123185.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 2^72137604 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 72137604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112613760).

72137604 is an abundant number, since it is smaller than the sum of its proper divisors (153089916).

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

72137604 is a wasteful number, since it uses less digits than its factorization.

72137604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72137604 is about 8493.3858972732. The cubic root of 72137604 is about 416.2816217444.

The spelling of 72137604 in words is "seventy-two million, one hundred thirty-seven thousand, six hundred four".