72836243316864 has 1536 divisors, whose sum is σ = 238572200655360. Its totient is φ = 21225170534400.

The previous prime is 72836243316853. The next prime is 72836243316883. The reversal of 72836243316864 is 46861334263827.

72836243316864 is a `hidden beast` number, since 7 + 2 + 8 + 36 + 2 + 433 + 168 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 482359227189 + ... + 482359227339.

It is an arithmetic number, because the mean of its divisors is an integer number (155320443135).

Almost surely, 2^{72836243316864} is an apocalyptic number.

72836243316864 is a gapful number since it is divisible by the number (74) 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 72836243316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119286100327680).

72836243316864 is an abundant number, since it is smaller than the sum of its proper divisors (165735957338496).

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

72836243316864 is a wasteful number, since it uses less digits than its factorization.

72836243316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 72836243316864 in words is "seventy-two trillion, eight hundred thirty-six billion, two hundred forty-three million, three hundred sixteen thousand, eight hundred sixty-four".