72679905 has 24 divisors (see below), whose sum is σ = 127102248. Its totient is φ = 38416896.

The previous prime is 72679897. The next prime is 72679927. The reversal of 72679905 is 50997627.

It can be written as a sum of positive squares in 4 ways, for example, as 9381969 + 63297936 = 3063^2 + 7956^2 .

It is not a de Polignac number, because 72679905 - 2³ = 72679897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2062 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (5295927).

Almost surely, 2^72679905 is an apocalyptic number.

It is an amenable number.

72679905 is a deficient number, since it is larger than the sum of its proper divisors (54422343).

72679905 is a wasteful number, since it uses less digits than its factorization.

72679905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14417 (or 14414 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 72679905 is about 8525.2510226972. The cubic root of 72679905 is about 417.3221636140.

The spelling of 72679905 in words is "seventy-two million, six hundred seventy-nine thousand, nine hundred five".