72388235872512 has 432 divisors, whose sum is σ = 247580335521792. Its totient is φ = 20664240998400.

The previous prime is 72388235872471. The next prime is 72388235872523. The reversal of 72388235872512 is 21527853288327.

72388235872512 is a `hidden beast` number, since 7 + 2 + 3 + 8 + 8 + 2 + 35 + 87 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 72388235872512.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501137643 + ... + 501282069.

Almost surely, 2^{72388235872512} is an apocalyptic number.

72388235872512 is a gapful number since it is divisible by the number (72) 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 72388235872512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123790167760896).

72388235872512 is an abundant number, since it is smaller than the sum of its proper divisors (175192099649280).

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

72388235872512 is a wasteful number, since it uses less digits than its factorization.

72388235872512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145616 (or 145590 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 72388235872512 in words is "seventy-two trillion, three hundred eighty-eight billion, two hundred thirty-five million, eight hundred seventy-two thousand, five hundred twelve".