72987208552512 has 336 divisors, whose sum is σ = 219480284342592. Its totient is φ = 23167704084480.

The previous prime is 72987208552487. The next prime is 72987208552529. The reversal of 72987208552512 is 21525580278927.

72987208552512 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 7 + 20 + 8 + 552 + 51 + 2 = 666.

It is a super-2 number, since 2×72987208552512² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72987208552512.

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, 189079062 + ... + 189464682.

It is an arithmetic number, because the mean of its divisors is an integer number (653215131972).

Almost surely, 2^{72987208552512} is an apocalyptic number.

72987208552512 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 72987208552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109740142171296).

72987208552512 is an abundant number, since it is smaller than the sum of its proper divisors (146493075790080).

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

72987208552512 is a wasteful number, since it uses less digits than its factorization.

72987208552512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385866 (or 385853 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 72987208552512 in words is "seventy-two trillion, nine hundred eighty-seven billion, two hundred eight million, five hundred fifty-two thousand, five hundred twelve".