728706 has 32 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 216000.

The previous prime is 728701. The next prime is 728713. The reversal of 728706 is 607827.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728706.

It is not an unprimeable number, because it can be changed into a prime (728701) by changing a digit.

728706 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, 3936 + ... + 4116.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2⁷²⁸⁷⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448).

728706 is an abundant number, since it is smaller than the sum of its proper divisors (896190).

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

728706 is a wasteful number, since it uses less digits than its factorization.

728706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 728706 is about 853.6427824330. The cubic root of 728706 is about 89.9878996078.

It can be divided in two parts, 72 and 8706, that added together give a palindrome (8778).

The spelling of 728706 in words is "seven hundred twenty-eight thousand, seven hundred six".