72979825 has 12 divisors (see below), whose sum is σ = 91587888. Its totient is φ = 57678800.

The previous prime is 72979813. The next prime is 72979843. The reversal of 72979825 is 52897927.

It is a de Polignac number, because none of the positive numbers 2^k-72979825 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15511 + ... + 19660.

It is an arithmetic number, because the mean of its divisors is an integer number (7632324).

Almost surely, 2^72979825 is an apocalyptic number.

It is an amenable number.

72979825 is a deficient number, since it is larger than the sum of its proper divisors (18608063).

72979825 is a wasteful number, since it uses less digits than its factorization.

72979825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35264 (or 35259 counting only the distinct ones).

The product of its digits is 635040, while the sum is 49.

The square root of 72979825 is about 8542.8230111597. The cubic root of 72979825 is about 417.8954146440.

The spelling of 72979825 in words is "seventy-two million, nine hundred seventy-nine thousand, eight hundred twenty-five".