72821326889 has 2 divisors, whose sum is σ = 72821326890. Its totient is φ = 72821326888.

The previous prime is 72821326883. The next prime is 72821326909. The reversal of 72821326889 is 98862312827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72531646489 + 289680400 = 269317^2 + 17020^2 .

It is an emirp because it is prime and its reverse (98862312827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72821326889 - 2¹² = 72821322793 is a prime.

It is not a weakly prime, because it can be changed into another prime (72821326883) 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, 36410663444 + 36410663445.

It is an arithmetic number, because the mean of its divisors is an integer number (36410663445).

Almost surely, 2^72821326889 is an apocalyptic number.

It is an amenable number.

72821326889 is a deficient number, since it is larger than the sum of its proper divisors (1).

72821326889 is an equidigital number, since it uses as much as digits as its factorization.

72821326889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4644864, while the sum is 56.

The spelling of 72821326889 in words is "seventy-two billion, eight hundred twenty-one million, three hundred twenty-six thousand, eight hundred eighty-nine".