72217264312760 has 128 divisors (see below), whose sum is σ = 195565788979200. Its totient is φ = 23446177781760.

The previous prime is 72217264312759. The next prime is 72217264312783. The reversal of 72217264312760 is 6721346271227.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72217264312699 and 72217264312708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8355689 + ... + 14637351.

It is an arithmetic number, because the mean of its divisors is an integer number (1527857726400).

Almost surely, 2^{72217264312760} is an apocalyptic number.

72217264312760 is a gapful number since it is divisible by the number (70) 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 72217264312760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97782894489600).

72217264312760 is an abundant number, since it is smaller than the sum of its proper divisors (123348524666440).

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

72217264312760 is a wasteful number, since it uses less digits than its factorization.

72217264312760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283861 (or 6283857 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 50.

The spelling of 72217264312760 in words is "seventy-two trillion, two hundred seventeen billion, two hundred sixty-four million, three hundred twelve thousand, seven hundred sixty".