72116931061440 has 1232 divisors, whose sum is σ = 265297854516768. Its totient is φ = 18664215478272.

The previous prime is 72116931061429. The next prime is 72116931061501. The reversal of 72116931061440 is 4416013961127.

72116931061440 is a `hidden beast` number, since 7 + 2 + 1 + 16 + 9 + 3 + 10 + 614 + 4 + 0 = 666.

It is a super-4 number, since 4×72116931061440⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 107157400944 + ... + 107157401616.

Almost surely, 2^{72116931061440} 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 72116931061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132648927258384).

72116931061440 is an abundant number, since it is smaller than the sum of its proper divisors (193180923455328).

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

72116931061440 is an equidigital number, since it uses as much as digits as its factorization.

72116931061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 72116931061440 in words is "seventy-two trillion, one hundred sixteen billion, nine hundred thirty-one million, sixty-one thousand, four hundred forty".