729333 has 24 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 430560.

The previous prime is 729331. The next prime is 729359. The reversal of 729333 is 333927.

729333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 729333 - 2¹ = 729331 is a prime.

It is a super-3 number, since 3×729333³ = 1163854923330507111, which contains 333 as substring.

729333 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 729297 and 729306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5178 + ... + 5316.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁷²⁹³³³ is an apocalyptic number.

It is an amenable number.

729333 is a deficient number, since it is larger than the sum of its proper divisors (450027).

729333 is a wasteful number, since it uses less digits than its factorization.

729333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 206 counting only the distinct ones).

The product of its digits is 3402, while the sum is 27.

The square root of 729333 is about 854.0099531036. The cubic root of 729333 is about 90.0137016177.

The spelling of 729333 in words is "seven hundred twenty-nine thousand, three hundred thirty-three".