72211627167481 has 2 divisors, whose sum is σ = 72211627167482. Its totient is φ = 72211627167480.

The previous prime is 72211627167397. The next prime is 72211627167587. The reversal of 72211627167481 is 18476172611227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72074072226025 + 137554941456 = 8489645^2 + 370884^2 .

It is a cyclic number.

It is not a de Polignac number, because 72211627167481 - 2⁹ = 72211627166969 is a prime.

It is a super-2 number, since 2×72211627167481² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72211627567481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36105813583740 + 36105813583741.

It is an arithmetic number, because the mean of its divisors is an integer number (36105813583741).

Almost surely, 2^{72211627167481} is an apocalyptic number.

It is an amenable number.

72211627167481 is a deficient number, since it is larger than the sum of its proper divisors (1).

72211627167481 is an equidigital number, since it uses as much as digits as its factorization.

72211627167481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3161088, while the sum is 55.

The spelling of 72211627167481 in words is "seventy-two trillion, two hundred eleven billion, six hundred twenty-seven million, one hundred sixty-seven thousand, four hundred eighty-one".