72580608 has 120 divisors (see below), whose sum is σ = 220763400. Its totient is φ = 22892544.

The previous prime is 72580601. The next prime is 72580609. The reversal of 72580608 is 80608527.

72580608 is a `hidden beast` number, since 72 + 580 + 6 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72580601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87138 + ... + 87966.

It is an arithmetic number, because the mean of its divisors is an integer number (1839695).

Almost surely, 2^72580608 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 72580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110381700).

72580608 is an abundant number, since it is smaller than the sum of its proper divisors (148182792).

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

72580608 is a wasteful number, since it uses less digits than its factorization.

72580608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 72580608 is about 8519.4253327322. The cubic root of 72580608 is about 417.1320252037.

The spelling of 72580608 in words is "seventy-two million, five hundred eighty thousand, six hundred eight".