128272 has 10 divisors (see below), whose sum is σ = 248558. Its totient is φ = 64128.

The previous prime is 128257. The next prime is 128273. The reversal of 128272 is 272821.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 15376 = 336^2 + 124^2 .

It is a pancake number, because a pancake can be divided into 128272 parts by 506 straight cuts.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (128273) by changing a digit.

128272 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 as a sum of consecutive naturals, namely, 3993 + ... + 4024.

2¹²⁸²⁷² is an apocalyptic number.

It is an amenable number.

128272 is a deficient number, since it is larger than the sum of its proper divisors (120286).

128272 is an equidigital number, since it uses as much as digits as its factorization.

128272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8019 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 128272 is about 358.1508062255. The cubic root of 128272 is about 50.4325145028.

It can be divided in two parts, 128 and 272, that added together give a square (400 = 20²).

The spelling of 128272 in words is "one hundred twenty-eight thousand, two hundred seventy-two".