128072 has 16 divisors (see below), whose sum is σ = 274560. Its totient is φ = 54864.

The previous prime is 128053. The next prime is 128099. The reversal of 128072 is 270821.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128072.

It is an unprimeable number.

128072 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 in 3 ways as a sum of consecutive naturals, for example, 1088 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2¹²⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

128072 is an abundant number, since it is smaller than the sum of its proper divisors (146488).

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

128072 is a wasteful number, since it uses less digits than its factorization.

128072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 128072 is about 357.8714853128. The cubic root of 128072 is about 50.4062896325.

Adding to 128072 its reverse (270821), we get a palindrome (398893).

The spelling of 128072 in words is "one hundred twenty-eight thousand, seventy-two".