72435242170409 has 2 divisors, whose sum is σ = 72435242170410. Its totient is φ = 72435242170408.

The previous prime is 72435242170381. The next prime is 72435242170493. The reversal of 72435242170409 is 90407124253427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65111940224809 + 7323301945600 = 8069197^2 + 2706160^2 .

It is a cyclic number.

It is not a de Polignac number, because 72435242170409 - 2³² = 72430947203113 is a prime.

It is not a weakly prime, because it can be changed into another prime (72435242170909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36217621085204 + 36217621085205.

It is an arithmetic number, because the mean of its divisors is an integer number (36217621085205).

Almost surely, 2^{72435242170409} is an apocalyptic number.

It is an amenable number.

72435242170409 is a deficient number, since it is larger than the sum of its proper divisors (1).

72435242170409 is an equidigital number, since it uses as much as digits as its factorization.

72435242170409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 72435242170409 in words is "seventy-two trillion, four hundred thirty-five billion, two hundred forty-two million, one hundred seventy thousand, four hundred nine".