72045518688 has 768 divisors, whose sum is σ = 261616158720. Its totient is φ = 19214807040.

The previous prime is 72045518681. The next prime is 72045518707. The reversal of 72045518688 is 88681554027.

72045518688 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 551 + 8 + 6 + 88 = 666.

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 (72045518681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230177220 + ... + 230177532.

It is an arithmetic number, because the mean of its divisors is an integer number (340646040).

Almost surely, 2^72045518688 is an apocalyptic number.

72045518688 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 72045518688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130808079360).

72045518688 is an abundant number, since it is smaller than the sum of its proper divisors (189570640032).

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

72045518688 is a wasteful number, since it uses less digits than its factorization.

72045518688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 72045518688 in words is "seventy-two billion, forty-five million, five hundred eighteen thousand, six hundred eighty-eight".