4272128 has 52 divisors (see below), whose sum is σ = 9829200. Its totient is φ = 1818624.

The previous prime is 4272119. The next prime is 4272139. The reversal of 4272128 is 8212724.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4272097 and 4272106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28598 + ... + 28746.

Almost surely, 2^4272128 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 4272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914600).

4272128 is an abundant number, since it is smaller than the sum of its proper divisors (5557072).

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

4272128 is an equidigital number, since it uses as much as digits as its factorization.

4272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 4272128 is about 2066.9126735303. The cubic root of 4272128 is about 162.2612256528.

The spelling of 4272128 in words is "four million, two hundred seventy-two thousand, one hundred twenty-eight".