72111766361 has 2 divisors, whose sum is σ = 72111766362. Its totient is φ = 72111766360.

The previous prime is 72111766339. The next prime is 72111766367. The reversal of 72111766361 is 16366711127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61469780761 + 10641985600 = 247931^2 + 103160^2 .

It is a cyclic number.

It is not a de Polignac number, because 72111766361 - 2¹⁰ = 72111765337 is a prime.

It is a super-4 number, since 4×72111766361⁴ (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (72111766367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36055883180 + 36055883181.

It is an arithmetic number, because the mean of its divisors is an integer number (36055883181).

Almost surely, 2^72111766361 is an apocalyptic number.

It is an amenable number.

72111766361 is a deficient number, since it is larger than the sum of its proper divisors (1).

72111766361 is an equidigital number, since it uses as much as digits as its factorization.

72111766361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 41.

The spelling of 72111766361 in words is "seventy-two billion, one hundred eleven million, seven hundred sixty-six thousand, three hundred sixty-one".