72807223398 has 96 divisors (see below), whose sum is σ = 184225194720. Its totient is φ = 19011686400.

The previous prime is 72807223397. The next prime is 72807223427. The reversal of 72807223398 is 89332270827.

It is a self number, because there is not a number n which added to its sum of digits gives 72807223398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72807223397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291718 + ... + 480326.

It is an arithmetic number, because the mean of its divisors is an integer number (1919012445).

Almost surely, 2^72807223398 is an apocalyptic number.

72807223398 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72807223398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92112597360).

72807223398 is an abundant number, since it is smaller than the sum of its proper divisors (111417971322).

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

72807223398 is a wasteful number, since it uses less digits than its factorization.

72807223398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188742 (or 188735 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 72807223398 in words is "seventy-two billion, eight hundred seven million, two hundred twenty-three thousand, three hundred ninety-eight".