729234 has 48 divisors (see below), whose sum is σ = 1797120. Its totient is φ = 211680.

The previous prime is 729217. The next prime is 729257. The reversal of 729234 is 432927.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 729198 and 729207.

It is an unprimeable number.

729234 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 23 ways as a sum of consecutive naturals, for example, 5679 + ... + 5805.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2⁷²⁹²³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898560).

729234 is an abundant number, since it is smaller than the sum of its proper divisors (1067886).

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

729234 is a wasteful number, since it uses less digits than its factorization.

729234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 172 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 729234 is about 853.9519892828. The cubic root of 729234 is about 90.0096285995.

It can be divided in two parts, 72923 and 4, that added together give a palindrome (72927).

The spelling of 729234 in words is "seven hundred twenty-nine thousand, two hundred thirty-four".