72530756271414 has 192 divisors, whose sum is σ = 182835682099200. Its totient is φ = 20352223213056.

The previous prime is 72530756271353. The next prime is 72530756271427. The reversal of 72530756271414 is 41417265703527.

72530756271414 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 0 + 7 + 5 + 627 + 1 + 4 + 1 + 4 = 666.

It is a super-2 number, since 2×72530756271414² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5302336627 + ... + 5302350305.

It is an arithmetic number, because the mean of its divisors is an integer number (952269177600).

Almost surely, 2^{72530756271414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72530756271414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91417841049600).

72530756271414 is an abundant number, since it is smaller than the sum of its proper divisors (110304925827786).

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

72530756271414 is a wasteful number, since it uses less digits than its factorization.

72530756271414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16179 (or 16176 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 72530756271414 in words is "seventy-two trillion, five hundred thirty billion, seven hundred fifty-six million, two hundred seventy-one thousand, four hundred fourteen".