72728127175312 has 40 divisors (see below), whose sum is σ = 161043660800000. Its totient is φ = 31168653921792.

The previous prime is 72728127175283. The next prime is 72728127175321. The reversal of 72728127175312 is 21357172182727.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824689 + ... + 12088687.

It is an arithmetic number, because the mean of its divisors is an integer number (4026091520000).

Almost surely, 2^{72728127175312} is an apocalyptic number.

It is an amenable number.

72728127175312 is an abundant number, since it is smaller than the sum of its proper divisors (88315533624688).

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

72728127175312 is a wasteful number, since it uses less digits than its factorization.

72728127175312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321663 (or 11321657 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 55.

The spelling of 72728127175312 in words is "seventy-two trillion, seven hundred twenty-eight billion, one hundred twenty-seven million, one hundred seventy-five thousand, three hundred twelve".