It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 65728 = 123 + 403 = 313 + 333.
65728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
265728 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 65728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65728 is a wasteful number, since it uses less digits than its factorization.
65728 is an odious number, because the sum of its binary digits is odd.
The square root of 65728 is about 256.3747257434. The cubic root of 65728 is about 40.3568077422.
Adding to 65728 its sum of digits (28), we get a palindrome (65756).
The spelling of 65728 in words is "sixty-five thousand, seven hundred twenty-eight".