72909691625 has 8 divisors (see below), whose sum is σ = 90991295304. Its totient is φ = 58327753200.

The previous prime is 72909691607. The next prime is 72909691633. The reversal of 72909691625 is 52619690927.

It can be written as a sum of positive squares in 4 ways, for example, as 21997635856 + 50912055769 = 148316^2 + 225637^2 .

It is not a de Polignac number, because 72909691625 - 2⁸ = 72909691369 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291638642 + ... + 291638891.

It is an arithmetic number, because the mean of its divisors is an integer number (11373911913).

Almost surely, 2^72909691625 is an apocalyptic number.

It is an amenable number.

72909691625 is a deficient number, since it is larger than the sum of its proper divisors (18081603679).

72909691625 is an equidigital number, since it uses as much as digits as its factorization.

72909691625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583277548 (or 583277538 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 56.

The spelling of 72909691625 in words is "seventy-two billion, nine hundred nine million, six hundred ninety-one thousand, six hundred twenty-five".