72745818012 has 96 divisors (see below), whose sum is σ = 219610137600. Its totient is φ = 20392347456.

The previous prime is 72745817941. The next prime is 72745818017. The reversal of 72745818012 is 21081854727.

72745818012 is a `hidden beast` number, since 7 + 2 + 7 + 458 + 180 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72745818017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867712 + ... + 947847.

It is an arithmetic number, because the mean of its divisors is an integer number (2287605600).

Almost surely, 2^72745818012 is an apocalyptic number.

It is an amenable number.

72745818012 is an abundant number, since it is smaller than the sum of its proper divisors (146864319588).

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

72745818012 is a wasteful number, since it uses less digits than its factorization.

72745818012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815632 (or 1815624 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 72745818012 in words is "seventy-two billion, seven hundred forty-five million, eight hundred eighteen thousand, twelve".