72552569 has 2 divisors, whose sum is σ = 72552570. Its totient is φ = 72552568.

The previous prime is 72552553. The next prime is 72552581. The reversal of 72552569 is 96525527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37884025 + 34668544 = 6155^2 + 5888^2 .

It is a cyclic number.

It is not a de Polignac number, because 72552569 - 2⁴ = 72552553 is a prime.

It is a super-2 number, since 2×72552569² = 10527750536999522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72552509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36276284 + 36276285.

It is an arithmetic number, because the mean of its divisors is an integer number (36276285).

Almost surely, 2^72552569 is an apocalyptic number.

It is an amenable number.

72552569 is a deficient number, since it is larger than the sum of its proper divisors (1).

72552569 is an equidigital number, since it uses as much as digits as its factorization.

72552569 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 189000, while the sum is 41.

The square root of 72552569 is about 8517.7795815576. The cubic root of 72552569 is about 417.0783034562.

The spelling of 72552569 in words is "seventy-two million, five hundred fifty-two thousand, five hundred sixty-nine".