72304596 has 144 divisors (see below), whose sum is σ = 235058880. Its totient is φ = 19051200.

The previous prime is 72304577. The next prime is 72304643. The reversal of 72304596 is 69540327.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 72304596.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68271 + ... + 69321.

Almost surely, 2^72304596 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 72304596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117529440).

72304596 is an abundant number, since it is smaller than the sum of its proper divisors (162754284).

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

72304596 is a wasteful number, since it uses less digits than its factorization.

72304596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72304596 is about 8503.2109229396. The cubic root of 72304596 is about 416.6025922450.

It can be divided in two parts, 72304 and 596, that added together give a square (72900 = 270²).

The spelling of 72304596 in words is "seventy-two million, three hundred four thousand, five hundred ninety-six".