72635101141 has 2 divisors, whose sum is σ = 72635101142. Its totient is φ = 72635101140.

The previous prime is 72635101073. The next prime is 72635101163. The reversal of 72635101141 is 14110153627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65295580900 + 7339520241 = 255530^2 + 85671^2 .

It is an emirp because it is prime and its reverse (14110153627) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72635101141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72635101181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36317550570 + 36317550571.

It is an arithmetic number, because the mean of its divisors is an integer number (36317550571).

Almost surely, 2^72635101141 is an apocalyptic number.

It is an amenable number.

72635101141 is a deficient number, since it is larger than the sum of its proper divisors (1).

72635101141 is an equidigital number, since it uses as much as digits as its factorization.

72635101141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 72635101141 its reverse (14110153627), we get a palindrome (86745254768).

The spelling of 72635101141 in words is "seventy-two billion, six hundred thirty-five million, one hundred one thousand, one hundred forty-one".