72713808 has 80 divisors (see below), whose sum is σ = 209808000. Its totient is φ = 24111360.

The previous prime is 72713807. The next prime is 72713821. The reversal of 72713808 is 80831727.

72713808 is a `hidden beast` number, since 7 + 271 + 380 + 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 (72713807) 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, 121093 + ... + 121691.

It is an arithmetic number, because the mean of its divisors is an integer number (2622600).

Almost surely, 2^72713808 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 72713808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104904000).

72713808 is an abundant number, since it is smaller than the sum of its proper divisors (137094192).

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

72713808 is a wasteful number, since it uses less digits than its factorization.

72713808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 72713808 is about 8527.2391780693. The cubic root of 72713808 is about 417.3870429592.

It can be divided in two parts, 727 and 13808, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 72713808 in words is "seventy-two million, seven hundred thirteen thousand, eight hundred eight".