72728742619104 has 192 divisors, whose sum is σ = 231524480452608. Its totient is φ = 19687455590400.

The previous prime is 72728742619067. The next prime is 72728742619151. The reversal of 72728742619104 is 40191624782727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85023459 + ... + 85874594.

It is an arithmetic number, because the mean of its divisors is an integer number (1205856669024).

Almost surely, 2^{72728742619104} is an apocalyptic number.

It is an amenable number.

72728742619104 is an abundant number, since it is smaller than the sum of its proper divisors (158795737833504).

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

72728742619104 is a wasteful number, since it uses less digits than its factorization.

72728742619104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170898121 (or 170898113 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 72728742619104 in words is "seventy-two trillion, seven hundred twenty-eight billion, seven hundred forty-two million, six hundred nineteen thousand, one hundred four".