72369982121 has 2 divisors, whose sum is σ = 72369982122. Its totient is φ = 72369982120.

The previous prime is 72369982079. The next prime is 72369982123. The reversal of 72369982121 is 12128996327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70543360000 + 1826622121 = 265600^2 + 42739^2 .

It is a cyclic number.

It is not a de Polignac number, because 72369982121 - 2¹⁰ = 72369981097 is a prime.

Together with 72369982123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72369982121.

It is not a weakly prime, because it can be changed into another prime (72369982123) 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, 36184991060 + 36184991061.

It is an arithmetic number, because the mean of its divisors is an integer number (36184991061).

Almost surely, 2^72369982121 is an apocalyptic number.

It is an amenable number.

72369982121 is a deficient number, since it is larger than the sum of its proper divisors (1).

72369982121 is an equidigital number, since it uses as much as digits as its factorization.

72369982121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 653184, while the sum is 50.

The spelling of 72369982121 in words is "seventy-two billion, three hundred sixty-nine million, nine hundred eighty-two thousand, one hundred twenty-one".