72827597 has 2 divisors, whose sum is σ = 72827598. Its totient is φ = 72827596.

The previous prime is 72827567. The next prime is 72827621. The reversal of 72827597 is 79572827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71048041 + 1779556 = 8429^2 + 1334^2 .

It is an emirp because it is prime and its reverse (79572827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72827597 - 2¹⁰ = 72826573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72827537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36413798 + 36413799.

It is an arithmetic number, because the mean of its divisors is an integer number (36413799).

Almost surely, 2^72827597 is an apocalyptic number.

It is an amenable number.

72827597 is a deficient number, since it is larger than the sum of its proper divisors (1).

72827597 is an equidigital number, since it uses as much as digits as its factorization.

72827597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 493920, while the sum is 47.

The square root of 72827597 is about 8533.9086589909. The cubic root of 72827597 is about 417.6046508788.

The spelling of 72827597 in words is "seventy-two million, eight hundred twenty-seven thousand, five hundred ninety-seven".