128272144 has 80 divisors (see below), whose sum is σ = 333728640. Its totient is φ = 46126080.

The previous prime is 128272117. The next prime is 128272147. The reversal of 128272144 is 441272821.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128272147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12012 + ... + 20020.

It is an arithmetic number, because the mean of its divisors is an integer number (4171608).

Almost surely, 2^128272144 is an apocalyptic number.

128272144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128272144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166864320).

128272144 is an abundant number, since it is smaller than the sum of its proper divisors (205456496).

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

128272144 is a wasteful number, since it uses less digits than its factorization.

128272144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8042 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 128272144 is about 11325.7292921913. The cubic root of 128272144 is about 504.3253337485.

It can be divided in two parts, 128 and 272144, that added together give a palindrome (272272).

The spelling of 128272144 in words is "one hundred twenty-eight million, two hundred seventy-two thousand, one hundred forty-four".