72122612302229 has 2 divisors, whose sum is σ = 72122612302230. Its totient is φ = 72122612302228.

The previous prime is 72122612302217. The next prime is 72122612302231. The reversal of 72122612302229 is 92220321622127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72002047101604 + 120565200625 = 8485402^2 + 347225^2 .

It is an emirp because it is prime and its reverse (92220321622127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72122612302229 - 2²⁸ = 72122343866773 is a prime.

Together with 72122612302231, 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 (72122612302249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36061306151114 + 36061306151115.

It is an arithmetic number, because the mean of its divisors is an integer number (36061306151115).

Almost surely, 2^{72122612302229} is an apocalyptic number.

It is an amenable number.

72122612302229 is a deficient number, since it is larger than the sum of its proper divisors (1).

72122612302229 is an equidigital number, since it uses as much as digits as its factorization.

72122612302229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 72122612302229 in words is "seventy-two trillion, one hundred twenty-two billion, six hundred twelve million, three hundred two thousand, two hundred twenty-nine".