72528084661273 has 2 divisors, whose sum is σ = 72528084661274. Its totient is φ = 72528084661272.

The previous prime is 72528084661237. The next prime is 72528084661289. The reversal of 72528084661273 is 37216648082527.

Together with previous prime (72528084661237) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41238962967049 + 31289121694224 = 6421757^2 + 5593668^2 .

It is a cyclic number.

It is not a de Polignac number, because 72528084661273 - 2²⁹ = 72527547790361 is a prime.

It is not a weakly prime, because it can be changed into another prime (72528084661973) 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, 36264042330636 + 36264042330637.

It is an arithmetic number, because the mean of its divisors is an integer number (36264042330637).

Almost surely, 2^{72528084661273} is an apocalyptic number.

It is an amenable number.

72528084661273 is a deficient number, since it is larger than the sum of its proper divisors (1).

72528084661273 is an equidigital number, since it uses as much as digits as its factorization.

72528084661273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 72528084661273 in words is "seventy-two trillion, five hundred twenty-eight billion, eighty-four million, six hundred sixty-one thousand, two hundred seventy-three".