72411132300193 has 2 divisors, whose sum is σ = 72411132300194. Its totient is φ = 72411132300192.

The previous prime is 72411132300187. The next prime is 72411132300209. The reversal of 72411132300193 is 39100323111427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58976686218384 + 13434446081809 = 7679628^2 + 3665303^2 .

It is an emirp because it is prime and its reverse (39100323111427) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72411132300193 is a prime.

It is not a weakly prime, because it can be changed into another prime (72411132300103) 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, 36205566150096 + 36205566150097.

It is an arithmetic number, because the mean of its divisors is an integer number (36205566150097).

Almost surely, 2^{72411132300193} is an apocalyptic number.

It is an amenable number.

72411132300193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72411132300193 is an equidigital number, since it uses as much as digits as its factorization.

72411132300193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 72411132300193 in words is "seventy-two trillion, four hundred eleven billion, one hundred thirty-two million, three hundred thousand, one hundred ninety-three".