72505008263717 has 16 divisors (see below), whose sum is σ = 76906203316992. Its totient is φ = 68118992340480.

The previous prime is 72505008263593. The next prime is 72505008263729. The reversal of 72505008263717 is 71736280050527.

It is not a de Polignac number, because 72505008263717 - 2¹⁰ = 72505008262693 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 (72505008263917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49461833 + ... + 50906609.

It is an arithmetic number, because the mean of its divisors is an integer number (4806637707312).

Almost surely, 2^{72505008263717} is an apocalyptic number.

It is an amenable number.

72505008263717 is a deficient number, since it is larger than the sum of its proper divisors (4401195053275).

72505008263717 is a wasteful number, since it uses less digits than its factorization.

72505008263717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450028.

The product of its (nonzero) digits is 4939200, while the sum is 53.

The spelling of 72505008263717 in words is "seventy-two trillion, five hundred five billion, eight million, two hundred sixty-three thousand, seven hundred seventeen".