72565417 has 8 divisors (see below), whose sum is σ = 73903752. Its totient is φ = 71232000.

The previous prime is 72565397. The next prime is 72565429. The reversal of 72565417 is 71456527.

It can be written as a sum of positive squares in 4 ways, for example, as 22382361 + 50183056 = 4731^2 + 7084^2 .

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 72565417 - 2¹¹ = 72563369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72565477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41913 + ... + 43609.

It is an arithmetic number, because the mean of its divisors is an integer number (9237969).

Almost surely, 2^72565417 is an apocalyptic number.

It is an amenable number.

72565417 is a deficient number, since it is larger than the sum of its proper divisors (1338335).

72565417 is a wasteful number, since it uses less digits than its factorization.

72565417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459.

The product of its digits is 58800, while the sum is 37.

The square root of 72565417 is about 8518.5337353326. The cubic root of 72565417 is about 417.1029214945.

The spelling of 72565417 in words is "seventy-two million, five hundred sixty-five thousand, four hundred seventeen".