43072128 has 192 divisors, whose sum is σ = 141086400. Its totient is φ = 12925440.

The previous prime is 43072109. The next prime is 43072151. The reversal of 43072128 is 82127034.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418125 + ... + 418227.

It is an arithmetic number, because the mean of its divisors is an integer number (734825).

Almost surely, 2^43072128 is an apocalyptic number.

43072128 is a gapful number since it is divisible by the number (48) 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 43072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70543200).

43072128 is an abundant number, since it is smaller than the sum of its proper divisors (98014272).

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

43072128 is a wasteful number, since it uses less digits than its factorization.

43072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 43072128 is about 6562.9359283784. The cubic root of 43072128 is about 350.5355827349.

The spelling of 43072128 in words is "forty-three million, seventy-two thousand, one hundred twenty-eight".