72854100017 has 2 divisors, whose sum is σ = 72854100018. Its totient is φ = 72854100016.

The previous prime is 72854100013. The next prime is 72854100079. The reversal of 72854100017 is 71000145827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55568161441 + 17285938576 = 235729^2 + 131476^2 .

It is a cyclic number.

It is not a de Polignac number, because 72854100017 - 2² = 72854100013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72854100017.

It is not a weakly prime, because it can be changed into another prime (72854100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36427050008 + 36427050009.

It is an arithmetic number, because the mean of its divisors is an integer number (36427050009).

Almost surely, 2^72854100017 is an apocalyptic number.

It is an amenable number.

72854100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

72854100017 is an equidigital number, since it uses as much as digits as its factorization.

72854100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 72854100017 in words is "seventy-two billion, eight hundred fifty-four million, one hundred thousand, seventeen".