72806879 has 16 divisors (see below), whose sum is σ = 80271360. Its totient is φ = 65772000.

The previous prime is 72806831. The next prime is 72806887. The reversal of 72806879 is 97860827.

It is a cyclic number.

It is not a de Polignac number, because 72806879 - 2¹² = 72802783 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72806579) 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 15 ways as a sum of consecutive naturals, for example, 40949 + ... + 42689.

It is an arithmetic number, because the mean of its divisors is an integer number (5016960).

Almost surely, 2^72806879 is an apocalyptic number.

72806879 is a deficient number, since it is larger than the sum of its proper divisors (7464481).

72806879 is a wasteful number, since it uses less digits than its factorization.

72806879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862.

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 72806879 is about 8532.6947091760. The cubic root of 72806879 is about 417.5650470561.

The spelling of 72806879 in words is "seventy-two million, eight hundred six thousand, eight hundred seventy-nine".