128672320 has 224 divisors, whose sum is σ = 386242560. Its totient is φ = 39813120.

The previous prime is 128672311. The next prime is 128672321. The reversal of 128672320 is 23276821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (128672321) 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, 1180426 + ... + 1180534.

Almost surely, 2^128672320 is an apocalyptic number.

128672320 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 128672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280).

128672320 is an abundant number, since it is smaller than the sum of its proper divisors (257570240).

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

128672320 is a wasteful number, since it uses less digits than its factorization.

128672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 128672320 is about 11343.3822116686. The cubic root of 128672320 is about 504.8492442853.

The spelling of 128672320 in words is "one hundred twenty-eight million, six hundred seventy-two thousand, three hundred twenty".