72819327329 has 24 divisors (see below), whose sum is σ = 87472809216. Its totient is φ = 60380964000.

The previous prime is 72819327313. The next prime is 72819327337. The reversal of 72819327329 is 92372391827.

It is not a de Polignac number, because 72819327329 - 2⁴ = 72819327313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72813327329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5113439 + ... + 5127659.

It is an arithmetic number, because the mean of its divisors is an integer number (3644700384).

Almost surely, 2^72819327329 is an apocalyptic number.

It is an amenable number.

72819327329 is a deficient number, since it is larger than the sum of its proper divisors (14653481887).

72819327329 is a wasteful number, since it uses less digits than its factorization.

72819327329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17637 (or 17630 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 53.

The spelling of 72819327329 in words is "seventy-two billion, eight hundred nineteen million, three hundred twenty-seven thousand, three hundred twenty-nine".