128032 has 12 divisors (see below), whose sum is σ = 252126. Its totient is φ = 64000.

The previous prime is 128021. The next prime is 128033. The reversal of 128032 is 230821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 1296 = 356^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 127997 and 128015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128033) by changing a digit.

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 as a sum of consecutive naturals, namely, 1969 + ... + 2032.

2¹²⁸⁰³² is an apocalyptic number.

It is an amenable number.

128032 is a deficient number, since it is larger than the sum of its proper divisors (124094).

128032 is an equidigital number, since it uses as much as digits as its factorization.

128032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 128032 is about 357.8155949648. The cubic root of 128032 is about 50.4010413827.

Adding to 128032 its reverse (230821), we get a palindrome (358853).

The spelling of 128032 in words is "one hundred twenty-eight thousand, thirty-two".