72814028304 has 40 divisors (see below), whose sum is σ = 188121754080. Its totient is φ = 24268910848.

The previous prime is 72814028303. The next prime is 72814028317. The reversal of 72814028304 is 40382041827.

It is not an unprimeable number, because it can be changed into a prime (72814028303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444844 + ... + 586100.

It is an arithmetic number, because the mean of its divisors is an integer number (4703043852).

Almost surely, 2^72814028304 is an apocalyptic number.

It is an amenable number.

72814028304 is an abundant number, since it is smaller than the sum of its proper divisors (115307725776).

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

72814028304 is a wasteful number, since it uses less digits than its factorization.

72814028304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152007 (or 152001 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 72814028304 in words is "seventy-two billion, eight hundred fourteen million, twenty-eight thousand, three hundred four".