72984079 has 12 divisors (see below), whose sum is σ = 85109664. Its totient is φ = 62403264.

The previous prime is 72984053. The next prime is 72984089. The reversal of 72984079 is 97048927.

It is not a de Polignac number, because 72984079 - 2⁵ = 72984047 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 (72984089) by changing a digit.

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, 21079 + ... + 24295.

It is an arithmetic number, because the mean of its divisors is an integer number (7092472).

Almost surely, 2^72984079 is an apocalyptic number.

72984079 is a deficient number, since it is larger than the sum of its proper divisors (12125585).

72984079 is a wasteful number, since it uses less digits than its factorization.

72984079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 72984079 is about 8543.0719884594. The cubic root of 72984079 is about 417.9035342056.

The spelling of 72984079 in words is "seventy-two million, nine hundred eighty-four thousand, seventy-nine".