72512393775104 has 192 divisors, whose sum is σ = 149038223443200. Its totient is φ = 35254517760000.

The previous prime is 72512393775079. The next prime is 72512393775109. The reversal of 72512393775104 is 40157739321527.

It is a self number, because there is not a number n which added to its sum of digits gives 72512393775104.

It is not an unprimeable number, because it can be changed into a prime (72512393775109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10171464212 + ... + 10171471340.

It is an arithmetic number, because the mean of its divisors is an integer number (776240747100).

Almost surely, 2^{72512393775104} 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 72512393775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74519111721600).

72512393775104 is an abundant number, since it is smaller than the sum of its proper divisors (76525829668096).

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

72512393775104 is a wasteful number, since it uses less digits than its factorization.

72512393775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 56.

The spelling of 72512393775104 in words is "seventy-two trillion, five hundred twelve billion, three hundred ninety-three million, seven hundred seventy-five thousand, one hundred four".