128087712 has 72 divisors (see below), whose sum is σ = 372756384. Its totient is φ = 41698944.

The previous prime is 128087711. The next prime is 128087777. The reversal of 128087712 is 217780821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (128087711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7213 + ... + 17555.

It is an arithmetic number, because the mean of its divisors is an integer number (5177172).

Almost surely, 2^128087712 is an apocalyptic number.

128087712 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 128087712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186378192).

128087712 is an abundant number, since it is smaller than the sum of its proper divisors (244668672).

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

128087712 is a wasteful number, since it uses less digits than its factorization.

128087712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 128087712 is about 11317.5841945178. The cubic root of 128087712 is about 504.0835084604.

The spelling of 128087712 in words is "one hundred twenty-eight million, eighty-seven thousand, seven hundred twelve".