72981501068268 has 240 divisors, whose sum is σ = 229000199994720. Its totient is φ = 20022550050816.

The previous prime is 72981501068257. The next prime is 72981501068291. The reversal of 72981501068268 is 86286010518927.

72981501068268 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 1 + 501 + 0 + 68 + 2 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25461571 + ... + 28182522.

It is an arithmetic number, because the mean of its divisors is an integer number (954167499978).

Almost surely, 2^{72981501068268} is an apocalyptic number.

72981501068268 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72981501068268 is an abundant number, since it is smaller than the sum of its proper divisors (156018698926452).

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

72981501068268 is a wasteful number, since it uses less digits than its factorization.

72981501068268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53644158 (or 53644147 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 72981501068268 in words is "seventy-two trillion, nine hundred eighty-one billion, five hundred one million, sixty-eight thousand, two hundred sixty-eight".