729504 has 72 divisors (see below), whose sum is σ = 2211300. Its totient is φ = 227328.

The previous prime is 729503. The next prime is 729511. The reversal of 729504 is 405927.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 3600 = 852^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729503) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4822 + ... + 4970.

2⁷²⁹⁵⁰⁴ 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 729504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105650).

729504 is an abundant number, since it is smaller than the sum of its proper divisors (1481796).

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

729504 is a wasteful number, since it uses less digits than its factorization.

729504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

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

The square root of 729504 is about 854.1100631652. The cubic root of 729504 is about 90.0207359628.

The spelling of 729504 in words is "seven hundred twenty-nine thousand, five hundred four".