Adding to 1728 its reverse (8271), we get a palindrome (9999).
The cubic root of 1728 is 12.
It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)2 ⋅ 2!.
1728 is nontrivially palindromic in base 11.
It is a nialpdrome in base 8 and base 12.
It is a zygodrome in base 8.
It is a self number, because there is not a number n which added to its sum of digits gives 1728.
1728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
1728 is a gapful number since it is divisible by the number (18) 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 1728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1728 is an equidigital number, since it uses as much as digits as its factorization.
1728 is an evil number, because the sum of its binary digits is even.
The square root of 1728 is about 41.5692193817.
The spelling of 1728 in words is "one thousand, seven hundred twenty-eight".