729918289 has 3 divisors (see below), whose sum is σ = 729945307. Its totient is φ = 729891272.

The previous prime is 729918263. The next prime is 729918311. The reversal of 729918289 is 982819927.

The square root of 729918289 is 27017.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 716900625 + 13017664 = 26775^2 + 3608^2 .

It is a de Polignac number, because none of the positive numbers 2^k-729918289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729918229) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13509 + ... + 40525.

Almost surely, 2^729918289 is an apocalyptic number.

729918289 is the 27017-th square number.

729918289 is the 13509-th centered octagonal number.

It is an amenable number.

729918289 is a deficient number, since it is larger than the sum of its proper divisors (27018).

729918289 is an frugal number, since it uses more digits than its factorization.

729918289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54034 (or 27017 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 55.

The cubic root of 729918289 is about 900.3777381455.

The spelling of 729918289 in words is "seven hundred twenty-nine million, nine hundred eighteen thousand, two hundred eighty-nine".