72809568 has 72 divisors (see below), whose sum is σ = 222990768. Its totient is φ = 22401792.

The previous prime is 72809551. The next prime is 72809573. The reversal of 72809568 is 86590827.

72809568 is a `hidden beast` number, since 7 + 2 + 80 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5980 + ... + 13467.

It is an arithmetic number, because the mean of its divisors is an integer number (3097094).

Almost surely, 2^72809568 is an apocalyptic number.

72809568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72809568 is an abundant number, since it is smaller than the sum of its proper divisors (150181200).

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

72809568 is a wasteful number, since it uses less digits than its factorization.

72809568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19476 (or 19465 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72809568 is about 8532.8522781072. The cubic root of 72809568 is about 417.5701876811.

The spelling of 72809568 in words is "seventy-two million, eight hundred nine thousand, five hundred sixty-eight".