72800379 has 24 divisors (see below), whose sum is σ = 109064592. Its totient is φ = 46759680.

The previous prime is 72800281. The next prime is 72800393. The reversal of 72800379 is 97300827.

72800379 is a `hidden beast` number, since 7 + 280 + 0 + 379 = 666.

It is not a de Polignac number, because 72800379 - 2⁷ = 72800251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72800279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29439 + ... + 31815.

It is an arithmetic number, because the mean of its divisors is an integer number (4544358).

Almost surely, 2^72800379 is an apocalyptic number.

72800379 is a deficient number, since it is larger than the sum of its proper divisors (36264213).

72800379 is a wasteful number, since it uses less digits than its factorization.

72800379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72800379 is about 8532.3138127943. The cubic root of 72800379 is about 417.5526203293.

The spelling of 72800379 in words is "seventy-two million, eight hundred thousand, three hundred seventy-nine".