72381325968 has 360 divisors, whose sum is σ = 252793195200. Its totient is φ = 18916353792.

The previous prime is 72381325967. The next prime is 72381326021. The reversal of 72381325968 is 86952318327.

72381325968 is a `hidden beast` number, since 7 + 2 + 38 + 13 + 2 + 596 + 8 = 666.

It is a super-2 number, since 2×72381325968² (a number of 23 digits) contains 22 as substring.

Its product of digits (4354560) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (72381325963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2495907778 + ... + 2495907806.

It is an arithmetic number, because the mean of its divisors is an integer number (702203320).

Almost surely, 2^72381325968 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 72381325968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126396597600).

72381325968 is an abundant number, since it is smaller than the sum of its proper divisors (180411869232).

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

72381325968 is an frugal number, since it uses more digits than its factorization.

72381325968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 60 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 72381325968 in words is "seventy-two billion, three hundred eighty-one million, three hundred twenty-five thousand, nine hundred sixty-eight".