729264 has 20 divisors (see below), whose sum is σ = 1884056. Its totient is φ = 243072.

The previous prime is 729257. The next prime is 729269. The reversal of 729264 is 462927.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729264.

It is not an unprimeable number, because it can be changed into a prime (729269) by changing a digit.

729264 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7549 + ... + 7644.

2⁷²⁹²⁶⁴ is an apocalyptic number.

It is an amenable number.

729264 is an abundant number, since it is smaller than the sum of its proper divisors (1154792).

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

729264 is a wasteful number, since it uses less digits than its factorization.

729264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15204 (or 15198 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 729264 is about 853.9695544924. The cubic root of 729264 is about 90.0108628863.

The spelling of 729264 in words is "seven hundred twenty-nine thousand, two hundred sixty-four".