72800379990 has 64 divisors (see below), whose sum is σ = 209067768000. Its totient is φ = 17920092672.

The previous prime is 72800379989. The next prime is 72800380021. The reversal of 72800379990 is 9997300827.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 10366915 + ... + 10373934.

It is an arithmetic number, because the mean of its divisors is an integer number (3266683875).

Almost surely, 2^72800379990 is an apocalyptic number.

72800379990 is an abundant number, since it is smaller than the sum of its proper divisors (136267388010).

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

72800379990 is a wasteful number, since it uses less digits than its factorization.

72800379990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20740878 (or 20740872 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 72800379990 in words is "seventy-two billion, eight hundred million, three hundred seventy-nine thousand, nine hundred ninety".