72411132300209 has 2 divisors, whose sum is σ = 72411132300210. Its totient is φ = 72411132300208.

The previous prime is 72411132300193. The next prime is 72411132300313. The reversal of 72411132300209 is 90200323111427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61420183432609 + 10990948867600 = 7837103^2 + 3315260^2 .

It is a cyclic number.

It is not a de Polignac number, because 72411132300209 - 2⁴ = 72411132300193 is a prime.

It is a super-2 number, since 2×72411132300209² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72411132300109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36205566150104 + 36205566150105.

It is an arithmetic number, because the mean of its divisors is an integer number (36205566150105).

Almost surely, 2^{72411132300209} is an apocalyptic number.

It is an amenable number.

72411132300209 is a deficient number, since it is larger than the sum of its proper divisors (1).

72411132300209 is an equidigital number, since it uses as much as digits as its factorization.

72411132300209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 72411132300209 in words is "seventy-two trillion, four hundred eleven billion, one hundred thirty-two million, three hundred thousand, two hundred nine".