43075872 has 144 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 11759616.

The previous prime is 43075859. The next prime is 43075883. The reversal of 43075872 is 27857034.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 45904 + ... + 46832.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^43075872 is an apocalyptic number.

43075872 is a gapful number since it is divisible by the number (42) 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 43075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

43075872 is an abundant number, since it is smaller than the sum of its proper divisors (103164768).

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

43075872 is a wasteful number, since it uses less digits than its factorization.

43075872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 43075872 is about 6563.2211603754. The cubic root of 43075872 is about 350.5457390878.

The spelling of 43075872 in words is "forty-three million, seventy-five thousand, eight hundred seventy-two".