72130112121581 has 2 divisors, whose sum is σ = 72130112121582. Its totient is φ = 72130112121580.

The previous prime is 72130112121523. The next prime is 72130112121583. The reversal of 72130112121581 is 18512121103127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68307481047556 + 3822631074025 = 8264834^2 + 1955155^2 .

It is a cyclic number.

It is not a de Polignac number, because 72130112121581 - 2¹⁰ = 72130112120557 is a prime.

It is a super-2 number, since 2×72130112121581² (a number of 29 digits) contains 22 as substring.

Together with 72130112121583, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72130112121583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36065056060790 + 36065056060791.

It is an arithmetic number, because the mean of its divisors is an integer number (36065056060791).

Almost surely, 2^{72130112121581} is an apocalyptic number.

It is an amenable number.

72130112121581 is a deficient number, since it is larger than the sum of its proper divisors (1).

72130112121581 is an equidigital number, since it uses as much as digits as its factorization.

72130112121581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 35.

The spelling of 72130112121581 in words is "seventy-two trillion, one hundred thirty billion, one hundred twelve million, one hundred twenty-one thousand, five hundred eighty-one".