728736 has 24 divisors (see below), whose sum is σ = 1913184. Its totient is φ = 242880.

The previous prime is 728731. The next prime is 728743. The reversal of 728736 is 637827.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 728697 and 728706.

It is not an unprimeable number, because it can be changed into a prime (728731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3700 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (79716).

2⁷²⁸⁷³⁶ is an apocalyptic number.

It is an amenable number.

728736 is an abundant number, since it is smaller than the sum of its proper divisors (1184448).

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

728736 is a wasteful number, since it uses less digits than its factorization.

728736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7596 counting only the distinct ones).

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

The square root of 728736 is about 853.6603540050. The cubic root of 728736 is about 89.9891344908.

Subtracting from 728736 its reverse (637827), we obtain a palindrome (90909).

The spelling of 728736 in words is "seven hundred twenty-eight thousand, seven hundred thirty-six".