72086563584 has 432 divisors, whose sum is σ = 246724208640. Its totient is φ = 19814768640.

The previous prime is 72086563531. The next prime is 72086563607. The reversal of 72086563584 is 48536568027.

72086563584 is a `hidden beast` number, since 7 + 2 + 0 + 8 + 6 + 56 + 3 + 584 = 666.

It is a super-3 number, since 3×72086563584³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72086563584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46238197 + ... + 46239755.

Almost surely, 2^72086563584 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 72086563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123362104320).

72086563584 is an abundant number, since it is smaller than the sum of its proper divisors (174637645056).

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

72086563584 is a wasteful number, since it uses less digits than its factorization.

72086563584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 72086563584 in words is "seventy-two billion, eighty-six million, five hundred sixty-three thousand, five hundred eighty-four".