72387911520 has 1152 divisors, whose sum is σ = 290594304000. Its totient is φ = 16930529280.

The previous prime is 72387911417. The next prime is 72387911527. The reversal of 72387911520 is 2511978327.

72387911520 is a `hidden beast` number, since 7 + 2 + 38 + 7 + 91 + 1 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72387911527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 664109226 + ... + 664109334.

It is an arithmetic number, because the mean of its divisors is an integer number (252252000).

Almost surely, 2^72387911520 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 72387911520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152000).

72387911520 is an abundant number, since it is smaller than the sum of its proper divisors (218206392480).

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

72387911520 is a wasteful number, since it uses less digits than its factorization.

72387911520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 72387911520 in words is "seventy-two billion, three hundred eighty-seven million, nine hundred eleven thousand, five hundred twenty".