72411200717017 has 2 divisors, whose sum is σ = 72411200717018. Its totient is φ = 72411200717016.

The previous prime is 72411200716979. The next prime is 72411200717029. The reversal of 72411200717017 is 71071700211427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67974022772496 + 4437177944521 = 8244636^2 + 2106461^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72411200717017 is a prime.

It is not a weakly prime, because it can be changed into another prime (72411200717087) 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 as a sum of consecutive naturals, namely, 36205600358508 + 36205600358509.

It is an arithmetic number, because the mean of its divisors is an integer number (36205600358509).

Almost surely, 2^{72411200717017} is an apocalyptic number.

It is an amenable number.

72411200717017 is a deficient number, since it is larger than the sum of its proper divisors (1).

72411200717017 is an equidigital number, since it uses as much as digits as its factorization.

72411200717017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38416, while the sum is 40.

The spelling of 72411200717017 in words is "seventy-two trillion, four hundred eleven billion, two hundred million, seven hundred seventeen thousand, seventeen".