728312 has 32 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 326784.

The previous prime is 728303. The next prime is 728317. The reversal of 728312 is 213827.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728312.

It is not an unprimeable number, because it can be changed into a prime (728317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4814 + ... + 4962.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁷²⁸³¹² 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 728312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

728312 is an abundant number, since it is smaller than the sum of its proper divisors (783688).

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

728312 is a wasteful number, since it uses less digits than its factorization.

728312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 728312 is about 853.4119755429. The cubic root of 728312 is about 89.9716783313.

The spelling of 728312 in words is "seven hundred twenty-eight thousand, three hundred twelve".