72411614545032 has 256 divisors, whose sum is σ = 232667663155200. Its totient is φ = 20438018496000.

The previous prime is 72411614545021. The next prime is 72411614545079. The reversal of 72411614545032 is 23054541611427.

It is a happy number.

72411614545032 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 161 + 4 + 5 + 450 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2384534313 + ... + 2384564679.

It is an arithmetic number, because the mean of its divisors is an integer number (908858059200).

Almost surely, 2^{72411614545032} is an apocalyptic number.

72411614545032 is a gapful number since it is divisible by the number (72) 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 72411614545032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116333831577600).

72411614545032 is an abundant number, since it is smaller than the sum of its proper divisors (160256048610168).

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

72411614545032 is a wasteful number, since it uses less digits than its factorization.

72411614545032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49473 (or 49463 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 72411614545032 in words is "seventy-two trillion, four hundred eleven billion, six hundred fourteen million, five hundred forty-five thousand, thirty-two".