729045 has 24 divisors (see below), whose sum is σ = 1339416. Its totient is φ = 365568.

The previous prime is 729041. The next prime is 729059. The reversal of 729045 is 540927.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 603729 = 354^2 + 777^2 .

It is not a de Polignac number, because 729045 - 2² = 729041 is a prime.

It is a super-2 number, since 2×729045² = 1063013224050, which contains 22 as substring.

729045 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729041) 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 in 23 ways as a sum of consecutive naturals, for example, 289 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (55809).

2⁷²⁹⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

729045 is a deficient number, since it is larger than the sum of its proper divisors (610371).

729045 is a wasteful number, since it uses less digits than its factorization.

729045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 729045 is about 853.8413201526. The cubic root of 729045 is about 90.0018518137.

The spelling of 729045 in words is "seven hundred twenty-nine thousand, forty-five".