729000 has 112 divisors (see below), whose sum is σ = 2557620. Its totient is φ = 194400.

The previous prime is 728993. The next prime is 729019. The reversal of 729000 is 927.

The cubic root of 729000 is 90.

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

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 236196 = 702^2 + 486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

729000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 27 ways as a sum of consecutive naturals, for example, 145798 + ... + 145802.

729000 is a Friedman number, since it can be written as 90^(7^(0+0)+2), using all its digits and the basic arithmetic operations.

2⁷²⁹⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278810).

729000 is an abundant number, since it is smaller than the sum of its proper divisors (1828620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729000 is an equidigital number, since it uses as much as digits as its factorization.

729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 729000 is about 853.8149682455.

Adding to 729000 its reverse (927), we get a palindrome (729927).

The spelling of 729000 in words is "seven hundred twenty-nine thousand".