72779627520 has 1232 divisors, whose sum is σ = 293829458688. Its totient is φ = 17199267840.

The previous prime is 72779627519. The next prime is 72779627521. The reversal of 72779627520 is 2572697727.

72779627520 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 9 + 627 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72779627519) and next prime (72779627521).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72779627521) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1967016942 + ... + 1967016978.

Almost surely, 2^72779627520 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 72779627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146914729344).

72779627520 is an abundant number, since it is smaller than the sum of its proper divisors (221049831168).

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

72779627520 is a wasteful number, since it uses less digits than its factorization.

72779627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 72779627520 in words is "seventy-two billion, seven hundred seventy-nine million, six hundred twenty-seven thousand, five hundred twenty".