729744 has 40 divisors (see below), whose sum is σ = 1970112. Its totient is φ = 232320.

The previous prime is 729737. The next prime is 729749. The reversal of 729744 is 447927.

729744 = 167² + 168² + ... + 189².

It is not an unprimeable number, because it can be changed into a prime (729749) 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 7 ways as a sum of consecutive naturals, for example, 774 + ... + 1434.

2⁷²⁹⁷⁴⁴ 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 729744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985056).

729744 is an abundant number, since it is smaller than the sum of its proper divisors (1240368).

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

729744 is a wasteful number, since it uses less digits than its factorization.

729744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 729744 is about 854.2505487268. The cubic root of 729744 is about 90.0306068741.

The spelling of 729744 in words is "seven hundred twenty-nine thousand, seven hundred forty-four".