729632 has 18 divisors (see below), whose sum is σ = 1446039. Its totient is φ = 362400.

The previous prime is 729613. The next prime is 729637. The reversal of 729632 is 236927.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 364816 + 364816 = 604^2 + 604^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=604.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 729595 and 729604.

It is not an unprimeable number, because it can be changed into a prime (729637) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4757 + ... + 4907.

2⁷²⁹⁶³² is an apocalyptic number.

It is an amenable number.

729632 is a deficient number, since it is larger than the sum of its proper divisors (716407).

729632 is an equidigital number, since it uses as much as digits as its factorization.

729632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 153 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 729632 is about 854.1849916733. The cubic root of 729632 is about 90.0260007182.

The spelling of 729632 in words is "seven hundred twenty-nine thousand, six hundred thirty-two".