729888 has 24 divisors (see below), whose sum is σ = 1916208. Its totient is φ = 243264.

The previous prime is 729877. The next prime is 729907. The reversal of 729888 is 888927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729888.

It is an unprimeable number.

729888 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 3 ways as a sum of consecutive naturals, for example, 3706 + ... + 3897.

It is an arithmetic number, because the mean of its divisors is an integer number (79842).

2⁷²⁹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

729888 is an abundant number, since it is smaller than the sum of its proper divisors (1186320).

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

729888 is a wasteful number, since it uses less digits than its factorization.

729888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7608 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 729888 is about 854.3348289752. The cubic root of 729888 is about 90.0365283821.

The spelling of 729888 in words is "seven hundred twenty-nine thousand, eight hundred eighty-eight".