128006710272 has 264 divisors, whose sum is σ = 423151516736. Its totient is φ = 36509958144.

The previous prime is 128006710261. The next prime is 128006710319. The reversal of 128006710272 is 272017600821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47285943 + ... + 47288649.

Almost surely, 2^128006710272 is an apocalyptic number.

128006710272 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 128006710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211575758368).

128006710272 is an abundant number, since it is smaller than the sum of its proper divisors (295144806464).

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

128006710272 is a wasteful number, since it uses less digits than its factorization.

128006710272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 128006710272 in words is "one hundred twenty-eight billion, six million, seven hundred ten thousand, two hundred seventy-two".