72317645 has 16 divisors (see below), whose sum is σ = 89434800. Its totient is φ = 56102400.

The previous prime is 72317603. The next prime is 72317659. The reversal of 72317645 is 54671327.

It can be written as a sum of positive squares in 8 ways, for example, as 18412681 + 53904964 = 4291^2 + 7342^2 .

It is not a de Polignac number, because 72317645 - 2²⁰ = 71269069 is a prime.

It is a super-3 number, since 3×72317645³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36131 + ... + 38079.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2^72317645 is an apocalyptic number.

It is an amenable number.

72317645 is a deficient number, since it is larger than the sum of its proper divisors (17117155).

72317645 is a wasteful number, since it uses less digits than its factorization.

72317645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176.

The product of its digits is 35280, while the sum is 35.

The square root of 72317645 is about 8503.9781867077. The cubic root of 72317645 is about 416.6276525248.

The spelling of 72317645 in words is "seventy-two million, three hundred seventeen thousand, six hundred forty-five".