72243600017 has 2 divisors, whose sum is σ = 72243600018. Its totient is φ = 72243600016.

The previous prime is 72243600007. The next prime is 72243600019. The reversal of 72243600017 is 71000634227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71997768976 + 245831041 = 268324^2 + 15679^2 .

It is an emirp because it is prime and its reverse (71000634227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72243600017 - 2¹⁰ = 72243598993 is a prime.

Together with 72243600019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72243600019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36121800008 + 36121800009.

It is an arithmetic number, because the mean of its divisors is an integer number (36121800009).

Almost surely, 2^72243600017 is an apocalyptic number.

It is an amenable number.

72243600017 is a deficient number, since it is larger than the sum of its proper divisors (1).

72243600017 is an equidigital number, since it uses as much as digits as its factorization.

72243600017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 72243600017 in words is "seventy-two billion, two hundred forty-three million, six hundred thousand, seventeen".