4005382272 has 64 divisors (see below), whose sum is σ = 10647992160. Its totient is φ = 1334036480.

The previous prime is 4005382259. The next prime is 4005382301. The reversal of 4005382272 is 2722835004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565183 + ... + 572225.

Almost surely, 2^4005382272 is an apocalyptic number.

It is an amenable number.

4005382272 is an abundant number, since it is smaller than the sum of its proper divisors (6642609888).

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

4005382272 is a wasteful number, since it uses less digits than its factorization.

4005382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4005382272 is about 63288.0894955757. The cubic root of 4005382272 is about 1588.1127182180.

The spelling of 4005382272 in words is "four billion, five million, three hundred eighty-two thousand, two hundred seventy-two".