72964717 has 8 divisors (see below), whose sum is σ = 87014016. Its totient is φ = 59821872.

The previous prime is 72964699. The next prime is 72964721. The reversal of 72964717 is 71746927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72964717 - 2¹⁹ = 72440429 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 (72964217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226438 + ... + 226759.

It is an arithmetic number, because the mean of its divisors is an integer number (10876752).

Almost surely, 2^72964717 is an apocalyptic number.

It is an amenable number.

72964717 is a deficient number, since it is larger than the sum of its proper divisors (14049299).

72964717 is a wasteful number, since it uses less digits than its factorization.

72964717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453227.

The product of its digits is 148176, while the sum is 43.

The square root of 72964717 is about 8541.9387143669. The cubic root of 72964717 is about 417.8665756252.

The spelling of 72964717 in words is "seventy-two million, nine hundred sixty-four thousand, seven hundred seventeen".