72993218688 has 448 divisors, whose sum is σ = 247231353600. Its totient is φ = 21270657024.

The previous prime is 72993218681. The next prime is 72993218693. The reversal of 72993218688 is 88681239927.

72993218688 is a `hidden beast` number, since 72 + 99 + 321 + 86 + 88 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72993218681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23046481 + ... + 23049647.

It is an arithmetic number, because the mean of its divisors is an integer number (551855700).

Almost surely, 2^72993218688 is an apocalyptic number.

72993218688 is a gapful number since it is divisible by the number (78) 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 72993218688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123615676800).

72993218688 is an abundant number, since it is smaller than the sum of its proper divisors (174238134912).

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

72993218688 is a wasteful number, since it uses less digits than its factorization.

72993218688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3204 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 72993218688 in words is "seventy-two billion, nine hundred ninety-three million, two hundred eighteen thousand, six hundred eighty-eight".