72928729765 has 16 divisors (see below), whose sum is σ = 90558720000. Its totient is φ = 56314665792.

The previous prime is 72928729733. The next prime is 72928729789. The reversal of 72928729765 is 56792782927.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72928729765 - 2⁵ = 72928729733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72928729697 and 72928729706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435484 + ... + 579226.

It is an arithmetic number, because the mean of its divisors is an integer number (5659920000).

Almost surely, 2^72928729765 is an apocalyptic number.

It is an amenable number.

72928729765 is a deficient number, since it is larger than the sum of its proper divisors (17629990235).

72928729765 is a wasteful number, since it uses less digits than its factorization.

72928729765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147276.

The product of its digits is 53343360, while the sum is 64.

The spelling of 72928729765 in words is "seventy-two billion, nine hundred twenty-eight million, seven hundred twenty-nine thousand, seven hundred sixty-five".