72365317 has 8 divisors (see below), whose sum is σ = 73386720. Its totient is φ = 71351280.

The previous prime is 72365309. The next prime is 72365327. The reversal of 72365317 is 71356327.

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 72365317 - 2³ = 72365309 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 (72365327) 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, 19659 + ... + 23047.

It is an arithmetic number, because the mean of its divisors is an integer number (9173340).

Almost surely, 2^72365317 is an apocalyptic number.

It is an amenable number.

72365317 is a deficient number, since it is larger than the sum of its proper divisors (1021403).

72365317 is a wasteful number, since it uses less digits than its factorization.

72365317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683.

The product of its digits is 26460, while the sum is 34.

The square root of 72365317 is about 8506.7806484004. The cubic root of 72365317 is about 416.7191797992.

The spelling of 72365317 in words is "seventy-two million, three hundred sixty-five thousand, three hundred seventeen".