72558720 has 512 divisors, whose sum is σ = 308448000. Its totient is φ = 15925248.

The previous prime is 72558713. The next prime is 72558743. The reversal of 72558720 is 2785527.

72558720 is a `hidden beast` number, since 72 + 5 + 587 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818871 + ... + 3818889.

Almost surely, 2^72558720 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 72558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

72558720 is an abundant number, since it is smaller than the sum of its proper divisors (235889280).

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

72558720 is a wasteful number, since it uses less digits than its factorization.

72558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72558720 is about 8518.1406421824. The cubic root of 72558720 is about 417.0900897430.

The spelling of 72558720 in words is "seventy-two million, five hundred fifty-eight thousand, seven hundred twenty".