72504720 has 200 divisors, whose sum is σ = 257108544. Its totient is φ = 18931968.

The previous prime is 72504709. The next prime is 72504721. The reversal of 72504720 is 2740527.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72504721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434077 + ... + 434243.

Almost surely, 2^72504720 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 72504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128554272).

72504720 is an abundant number, since it is smaller than the sum of its proper divisors (184603824).

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

72504720 is a wasteful number, since it uses less digits than its factorization.

72504720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72504720 is about 8514.9703463958. The cubic root of 72504720 is about 416.9865944658.

The spelling of 72504720 in words is "seventy-two million, five hundred four thousand, seven hundred twenty".