72431117777 has 2 divisors, whose sum is σ = 72431117778. Its totient is φ = 72431117776.

The previous prime is 72431117741. The next prime is 72431117797. The reversal of 72431117777 is 77771113427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58235825041 + 14195292736 = 241321^2 + 119144^2 .

It is a cyclic number.

It is not a de Polignac number, because 72431117777 - 2¹⁶ = 72431052241 is a prime.

It is not a weakly prime, because it can be changed into another prime (72431117797) 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, 36215558888 + 36215558889.

It is an arithmetic number, because the mean of its divisors is an integer number (36215558889).

Almost surely, 2^72431117777 is an apocalyptic number.

It is an amenable number.

72431117777 is a deficient number, since it is larger than the sum of its proper divisors (1).

72431117777 is an equidigital number, since it uses as much as digits as its factorization.

72431117777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 403368, while the sum is 47.

The spelling of 72431117777 in words is "seventy-two billion, four hundred thirty-one million, one hundred seventeen thousand, seven hundred seventy-seven".