128072040 has 64 divisors (see below), whose sum is σ = 388056960. Its totient is φ = 33811200.

The previous prime is 128072023. The next prime is 128072083. The reversal of 128072040 is 40270821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 128072040.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6837 + ... + 17403.

It is an arithmetic number, because the mean of its divisors is an integer number (6063390).

Almost surely, 2^128072040 is an apocalyptic number.

128072040 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 128072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194028480).

128072040 is an abundant number, since it is smaller than the sum of its proper divisors (259984920).

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

128072040 is a wasteful number, since it uses less digits than its factorization.

128072040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 128072040 is about 11316.8917994297. The cubic root of 128072040 is about 504.0629488016.

128072040 divided by its sum of digits (24) gives a palindrome (5336335).

The spelling of 128072040 in words is "one hundred twenty-eight million, seventy-two thousand, forty".