72131700233 has 2 divisors, whose sum is σ = 72131700234. Its totient is φ = 72131700232.

The previous prime is 72131700227. The next prime is 72131700253. The reversal of 72131700233 is 33200713127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69576195529 + 2555504704 = 263773^2 + 50552^2 .

It is a cyclic number.

It is not a de Polignac number, because 72131700233 - 2⁸ = 72131699977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72131700196 and 72131700205.

It is not a weakly prime, because it can be changed into another prime (72131700253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36065850116 + 36065850117.

It is an arithmetic number, because the mean of its divisors is an integer number (36065850117).

Almost surely, 2^72131700233 is an apocalyptic number.

It is an amenable number.

72131700233 is a deficient number, since it is larger than the sum of its proper divisors (1).

72131700233 is an equidigital number, since it uses as much as digits as its factorization.

72131700233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 29.

The spelling of 72131700233 in words is "seventy-two billion, one hundred thirty-one million, seven hundred thousand, two hundred thirty-three".