128072320 has 64 divisors (see below), whose sum is σ = 309990240. Its totient is φ = 50590720.

The previous prime is 128072317. The next prime is 128072341. The reversal of 128072320 is 23270821.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 51915 + ... + 54325.

Almost surely, 2^128072320 is an apocalyptic number.

128072320 is a gapful number since it is divisible by the number (10) 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 128072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154995120).

128072320 is an abundant number, since it is smaller than the sum of its proper divisors (181917920).

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

128072320 is an equidigital number, since it uses as much as digits as its factorization.

128072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 128072320 is about 11316.9041703109. The cubic root of 128072320 is about 504.0633161405.

The spelling of 128072320 in words is "one hundred twenty-eight million, seventy-two thousand, three hundred twenty".