729365689 has 8 divisors (see below), whose sum is σ = 812556360. Its totient is φ = 650044416.

The previous prime is 729365647. The next prime is 729365713. The reversal of 729365689 is 986563927.

It can be written as a sum of positive squares in 4 ways, for example, as 22231225 + 707134464 = 4715^2 + 26592^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 729365689 - 2⁷ = 729365561 is a prime.

It is a super-3 number, since 3×729365689³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729365639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966952 + ... + 967705.

It is an arithmetic number, because the mean of its divisors is an integer number (101569545).

Almost surely, 2^729365689 is an apocalyptic number.

It is an amenable number.

729365689 is a deficient number, since it is larger than the sum of its proper divisors (83190671).

729365689 is a wasteful number, since it uses less digits than its factorization.

729365689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934699.

The product of its digits is 4898880, while the sum is 55.

The square root of 729365689 is about 27006.7711694679. The cubic root of 729365689 is about 900.1504641441.

The spelling of 729365689 in words is "seven hundred twenty-nine million, three hundred sixty-five thousand, six hundred eighty-nine".