128364672 has 64 divisors (see below), whose sum is σ = 352756800. Its totient is φ = 41309184.

The previous prime is 128364667. The next prime is 128364683. The reversal of 128364672 is 276463821.

It is a happy number.

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

128364672 is a modest number, since divided by 364672 gives 128 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 128364672.

It is a congruent number.

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, 5373 + ... + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (5511825).

Almost surely, 2^128364672 is an apocalyptic number.

128364672 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 128364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176378400).

128364672 is an abundant number, since it is smaller than the sum of its proper divisors (224392128).

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

128364672 is a wasteful number, since it uses less digits than its factorization.

128364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11573 (or 11561 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 128364672 is about 11329.8134141741. The cubic root of 128364672 is about 504.4465681731.

The spelling of 128364672 in words is "one hundred twenty-eight million, three hundred sixty-four thousand, six hundred seventy-two".