728712 has 48 divisors (see below), whose sum is σ = 2047500. Its totient is φ = 233856.

The previous prime is 728701. The next prime is 728713. The reversal of 728712 is 217827.

It can be written as a sum of positive squares in 2 ways, for example, as 715716 + 12996 = 846^2 + 114^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728712.

It is not an unprimeable number, because it can be changed into a prime (728713) by changing a digit.

728712 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 11 ways as a sum of consecutive naturals, for example, 1914 + ... + 2262.

2⁷²⁸⁷¹² is an apocalyptic number.

728712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023750).

728712 is an abundant number, since it is smaller than the sum of its proper divisors (1318788).

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

728712 is a wasteful number, since it uses less digits than its factorization.

728712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 728712 is about 853.6462967764. The cubic root of 728712 is about 89.9881465871.

It can be divided in two parts, 72 and 8712, that multiplied together give a square (627264 = 792²).

The spelling of 728712 in words is "seven hundred twenty-eight thousand, seven hundred twelve".