72635101757 has 2 divisors, whose sum is σ = 72635101758. Its totient is φ = 72635101756.

The previous prime is 72635101739. The next prime is 72635101787. The reversal of 72635101757 is 75710153627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72635101081 + 676 = 269509^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 72635101757 - 2²⁰ = 72634053181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72635101787) 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, 36317550878 + 36317550879.

It is an arithmetic number, because the mean of its divisors is an integer number (36317550879).

Almost surely, 2^72635101757 is an apocalyptic number.

It is an amenable number.

72635101757 is a deficient number, since it is larger than the sum of its proper divisors (1).

72635101757 is an equidigital number, since it uses as much as digits as its factorization.

72635101757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 308700, while the sum is 44.

The spelling of 72635101757 in words is "seventy-two billion, six hundred thirty-five million, one hundred one thousand, seven hundred fifty-seven".