72324984 has 64 divisors (see below), whose sum is σ = 191278080. Its totient is φ = 22752000.

The previous prime is 72324983. The next prime is 72324991. The reversal of 72324984 is 48942327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72324983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29319 + ... + 31689.

It is an arithmetic number, because the mean of its divisors is an integer number (2988720).

Almost surely, 2^72324984 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 72324984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95639040).

72324984 is an abundant number, since it is smaller than the sum of its proper divisors (118953096).

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

72324984 is a wasteful number, since it uses less digits than its factorization.

72324984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2448 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 72324984 is about 8504.4096796897. The cubic root of 72324984 is about 416.6417455673.

The spelling of 72324984 in words is "seventy-two million, three hundred twenty-four thousand, nine hundred eighty-four".