72180569 has 2 divisors, whose sum is σ = 72180570. Its totient is φ = 72180568.

The previous prime is 72180557. The next prime is 72180587. The reversal of 72180569 is 96508127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54582544 + 17598025 = 7388^2 + 4195^2 .

It is an emirp because it is prime and its reverse (96508127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72180569 - 2¹² = 72176473 is a prime.

It is a super-2 number, since 2×72180569² = 10420069082327522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72180469) 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, 36090284 + 36090285.

It is an arithmetic number, because the mean of its divisors is an integer number (36090285).

Almost surely, 2^72180569 is an apocalyptic number.

It is an amenable number.

72180569 is a deficient number, since it is larger than the sum of its proper divisors (1).

72180569 is an equidigital number, since it uses as much as digits as its factorization.

72180569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 72180569 is about 8495.9148418519. The cubic root of 72180569 is about 416.3642508181.

The spelling of 72180569 in words is "seventy-two million, one hundred eighty thousand, five hundred sixty-nine".