82572721969 has 2 divisors, whose sum is σ = 82572721970. Its totient is φ = 82572721968.

The previous prime is 82572721909. The next prime is 82572722009. The reversal of 82572721969 is 96912727528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77782421025 + 4790300944 = 278895^2 + 69212^2 .

It is a cyclic number.

It is not a de Polignac number, because 82572721969 - 2¹⁷ = 82572590897 is a prime.

It is a super-2 number, since 2×82572721969² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82572721909) 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, 41286360984 + 41286360985.

It is an arithmetic number, because the mean of its divisors is an integer number (41286360985).

Almost surely, 2^82572721969 is an apocalyptic number.

It is an amenable number.

82572721969 is a deficient number, since it is larger than the sum of its proper divisors (1).

82572721969 is an equidigital number, since it uses as much as digits as its factorization.

82572721969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7620480, while the sum is 58.

The spelling of 82572721969 in words is "eighty-two billion, five hundred seventy-two million, seven hundred twenty-one thousand, nine hundred sixty-nine".