72225387208889 has 2 divisors, whose sum is σ = 72225387208890. Its totient is φ = 72225387208888.

The previous prime is 72225387208859. The next prime is 72225387208927. The reversal of 72225387208889 is 98880278352227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59245471563664 + 12979915645225 = 7697108^2 + 3602765^2 .

It is a cyclic number.

It is not a de Polignac number, because 72225387208889 - 2⁸ = 72225387208633 is a prime.

It is a super-2 number, since 2×72225387208889² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72225387208859) 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, 36112693604444 + 36112693604445.

It is an arithmetic number, because the mean of its divisors is an integer number (36112693604445).

Almost surely, 2^{72225387208889} is an apocalyptic number.

It is an amenable number.

72225387208889 is a deficient number, since it is larger than the sum of its proper divisors (1).

72225387208889 is an equidigital number, since it uses as much as digits as its factorization.

72225387208889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 433520640, while the sum is 71.

The spelling of 72225387208889 in words is "seventy-two trillion, two hundred twenty-five billion, three hundred eighty-seven million, two hundred eight thousand, eight hundred eighty-nine".