729216289 has 2 divisors, whose sum is σ = 729216290. Its totient is φ = 729216288.

The previous prime is 729216269. The next prime is 729216359. The reversal of 729216289 is 982612927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 479829025 + 249387264 = 21905^2 + 15792^2 .

It is a cyclic number.

It is not a de Polignac number, because 729216289 - 2¹⁹ = 728692001 is a prime.

It is a super-2 number, since 2×729216289² = 1063512792285863042, which contains 22 as substring.

It is equal to p_37685845 and since 729216289 and 37685845 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (729216259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364608144 + 364608145.

It is an arithmetic number, because the mean of its divisors is an integer number (364608145).

Almost surely, 2^729216289 is an apocalyptic number.

It is an amenable number.

729216289 is a deficient number, since it is larger than the sum of its proper divisors (1).

729216289 is an equidigital number, since it uses as much as digits as its factorization.

729216289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728, while the sum is 46.

The square root of 729216289 is about 27004.0050548062. The cubic root of 729216289 is about 900.0889990177.

The spelling of 729216289 in words is "seven hundred twenty-nine million, two hundred sixteen thousand, two hundred eighty-nine".