72605317 has 8 divisors (see below), whose sum is σ = 79356672. Its totient is φ = 66129600.

The previous prime is 72605297. The next prime is 72605321. The reversal of 72605317 is 71350627.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72605317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72605387) 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, 68359 + ... + 69412.

It is an arithmetic number, because the mean of its divisors is an integer number (9919584).

Almost surely, 2^72605317 is an apocalyptic number.

It is an amenable number.

72605317 is a deficient number, since it is larger than the sum of its proper divisors (6751355).

72605317 is a wasteful number, since it uses less digits than its factorization.

72605317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137819.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 72605317 is about 8520.8753658295. The cubic root of 72605317 is about 417.1793553199.

The spelling of 72605317 in words is "seventy-two million, six hundred five thousand, three hundred seventeen".