72852509 has 2 divisors, whose sum is σ = 72852510. Its totient is φ = 72852508.

The previous prime is 72852487. The next prime is 72852583. The reversal of 72852509 is 90525827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60497284 + 12355225 = 7778^2 + 3515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72852509 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72852709) 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, 36426254 + 36426255.

It is an arithmetic number, because the mean of its divisors is an integer number (36426255).

Almost surely, 2^72852509 is an apocalyptic number.

It is an amenable number.

72852509 is a deficient number, since it is larger than the sum of its proper divisors (1).

72852509 is an equidigital number, since it uses as much as digits as its factorization.

72852509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 72852509 is about 8535.3681232856. The cubic root of 72852509 is about 417.6522618646.

The spelling of 72852509 in words is "seventy-two million, eight hundred fifty-two thousand, five hundred nine".