4005872 has 20 divisors (see below), whose sum is σ = 8358840. Its totient is φ = 1848768.

The previous prime is 4005847. The next prime is 4005889. The reversal of 4005872 is 2785004.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9422 + ... + 9837.

It is an arithmetic number, because the mean of its divisors is an integer number (417942).

Almost surely, 2^4005872 is an apocalyptic number.

It is an amenable number.

4005872 is an abundant number, since it is smaller than the sum of its proper divisors (4352968).

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

4005872 is a wasteful number, since it uses less digits than its factorization.

4005872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19280 (or 19274 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 4005872 is about 2001.4674616391. The cubic root of 4005872 is about 158.8177440427.

The spelling of 4005872 in words is "four million, five thousand, eight hundred seventy-two".