271728 has 80 divisors (see below), whose sum is σ = 848160. Its totient is φ = 82944.

The previous prime is 271723. The next prime is 271729. The reversal of 271728 is 827172.

It is a super-2 number, since 2×271728² = 147672211968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271723) by changing a digit.

271728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7326 + ... + 7362.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2²⁷¹⁷²⁸ 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 271728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424080).

271728 is an abundant number, since it is smaller than the sum of its proper divisors (576432).

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

271728 is a wasteful number, since it uses less digits than its factorization.

271728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

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

The square root of 271728 is about 521.2753590954. The cubic root of 271728 is about 64.7706314104.

It can be divided in two parts, 271 and 728, that added together give a palindrome (999).

The spelling of 271728 in words is "two hundred seventy-one thousand, seven hundred twenty-eight".