72740681216000 has 208 divisors, whose sum is σ = 207472669809600. Its totient is φ = 24939660902400.

The previous prime is 72740681215999. The next prime is 72740681216041. The reversal of 72740681216000 is 61218604727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6563975 + ... + 13731974.

It is an arithmetic number, because the mean of its divisors is an integer number (997464758700).

Almost surely, 2^{72740681216000} is an apocalyptic number.

72740681216000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72740681216000 is an abundant number, since it is smaller than the sum of its proper divisors (134731988593600).

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

72740681216000 is an equidigital number, since it uses as much as digits as its factorization.

72740681216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20295995 (or 20295963 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 72740681216000 in words is "seventy-two trillion, seven hundred forty billion, six hundred eighty-one million, two hundred sixteen thousand".