128272032 has 192 divisors, whose sum is σ = 433520640. Its totient is φ = 36142848.

The previous prime is 128271991. The next prime is 128272033. The reversal of 128272032 is 230272821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 128271987 and 128272005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128272033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768013 + ... + 768179.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2^128272032 is an apocalyptic number.

128272032 is a gapful number since it is divisible by the number (12) 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 128272032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

128272032 is an abundant number, since it is smaller than the sum of its proper divisors (305248608).

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

128272032 is a wasteful number, since it uses less digits than its factorization.

128272032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 128272032 is about 11325.7243476963. The cubic root of 128272032 is about 504.3251869657.

The spelling of 128272032 in words is "one hundred twenty-eight million, two hundred seventy-two thousand, thirty-two".