72604296 has 64 divisors (see below), whose sum is σ = 206395200. Its totient is φ = 23635584.

The previous prime is 72604289. The next prime is 72604319. The reversal of 72604296 is 69240627.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72604296.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5380 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (3224925).

Almost surely, 2^72604296 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 72604296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103197600).

72604296 is an abundant number, since it is smaller than the sum of its proper divisors (133790904).

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

72604296 is a wasteful number, since it uses less digits than its factorization.

72604296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72604296 is about 8520.8154539340. The cubic root of 72604296 is about 417.1773998060.

It can be divided in two parts, 72604 and 296, that added together give a square (72900 = 270²).

The spelling of 72604296 in words is "seventy-two million, six hundred four thousand, two hundred ninety-six".