73172560068217 has 16 divisors (see below), whose sum is σ = 73691893044880. Its totient is φ = 72653912368128.

The previous prime is 73172560068203. The next prime is 73172560068281. The reversal of 73172560068217 is 71286006527137.

It can be written as a sum of positive squares in 8 ways, for example, as 743200892281 + 72429359175936 = 862091^2 + 8510544^2 .

It is a cyclic number.

It is not a de Polignac number, because 73172560068217 - 2³¹ = 73170412584569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73172560060217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3977408863 + ... + 3977427259.

It is an arithmetic number, because the mean of its divisors is an integer number (4605743315305).

Almost surely, 2^{73172560068217} is an apocalyptic number.

It is an amenable number.

73172560068217 is a deficient number, since it is larger than the sum of its proper divisors (519332976663).

73172560068217 is a wasteful number, since it uses less digits than its factorization.

73172560068217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35500.

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 73172560068217 in words is "seventy-three trillion, one hundred seventy-two billion, five hundred sixty million, sixty-eight thousand, two hundred seventeen".