72648717 has 24 divisors (see below), whose sum is σ = 101428992. Its totient is φ = 46247040.

The previous prime is 72648707. The next prime is 72648721. The reversal of 72648717 is 71784627.

It is not a de Polignac number, because 72648717 - 2¹⁰ = 72647693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72648707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325668 + ... + 325890.

It is an arithmetic number, because the mean of its divisors is an integer number (4226208).

Almost surely, 2^72648717 is an apocalyptic number.

It is an amenable number.

72648717 is a deficient number, since it is larger than the sum of its proper divisors (28780275).

72648717 is a wasteful number, since it uses less digits than its factorization.

72648717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 72648717 is about 8523.4216720751. The cubic root of 72648717 is about 417.2624620785.

The spelling of 72648717 in words is "seventy-two million, six hundred forty-eight thousand, seven hundred seventeen".