72978892017 has 16 divisors (see below), whose sum is σ = 106352543232. Its totient is φ = 44313557760.

The previous prime is 72978892013. The next prime is 72978892067. The reversal of 72978892017 is 71029887927.

It is a happy number.

It is not a de Polignac number, because 72978892017 - 2² = 72978892013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72978892013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23078398 + ... + 23081559.

It is an arithmetic number, because the mean of its divisors is an integer number (6647033952).

Almost surely, 2^72978892017 is an apocalyptic number.

It is an amenable number.

72978892017 is a deficient number, since it is larger than the sum of its proper divisors (33373651215).

72978892017 is a wasteful number, since it uses less digits than its factorization.

72978892017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46160008.

The product of its (nonzero) digits is 7112448, while the sum is 60.

The spelling of 72978892017 in words is "seventy-two billion, nine hundred seventy-eight million, eight hundred ninety-two thousand, seventeen".