729756 has 48 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 233856.

The previous prime is 729749. The next prime is 729761. The reversal of 729756 is 657927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 729756.

It is a congruent number.

It is an unprimeable number.

729756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3016 + ... + 3248.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁷²⁹⁷⁵⁶ 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 729756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

729756 is an abundant number, since it is smaller than the sum of its proper divisors (1235844).

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

729756 is a wasteful number, since it uses less digits than its factorization.

729756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 729756 is about 854.2575723984. The cubic root of 729756 is about 90.0311003628.

It can be divided in two parts, 729 and 756, that added together give a triangular number (1485 = T₅₄).

The spelling of 729756 in words is "seven hundred twenty-nine thousand, seven hundred fifty-six".