128672256 has 80 divisors (see below), whose sum is σ = 360914400. Its totient is φ = 40624128.

The previous prime is 128672251. The next prime is 128672263. The reversal of 128672256 is 652276821.

It is not an unprimeable number, because it can be changed into a prime (128672251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26980 + ... + 31388.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2^128672256 is an apocalyptic number.

128672256 is a gapful number since it is divisible by the number (16) 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 128672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180457200).

128672256 is an abundant number, since it is smaller than the sum of its proper divisors (232242144).

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

128672256 is an equidigital number, since it uses as much as digits as its factorization.

128672256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4433 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 128672256 is about 11343.3793906402. The cubic root of 128672256 is about 504.8491605834.

The spelling of 128672256 in words is "one hundred twenty-eight million, six hundred seventy-two thousand, two hundred fifty-six".