72354325680 has 400 divisors, whose sum is σ = 309291495744. Its totient is φ = 15265843200.

The previous prime is 72354325661. The next prime is 72354325709. The reversal of 72354325680 is 8652345327.

72354325680 is a `hidden beast` number, since 7 + 2 + 3 + 54 + 32 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 528330 + ... + 651030.

Almost surely, 2^72354325680 is an apocalyptic number.

72354325680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72354325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154645747872).

72354325680 is an abundant number, since it is smaller than the sum of its proper divisors (236937170064).

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

72354325680 is a wasteful number, since it uses less digits than its factorization.

72354325680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122746 (or 122731 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 72354325680 in words is "seventy-two billion, three hundred fifty-four million, three hundred twenty-five thousand, six hundred eighty".