4005672 has 32 divisors (see below), whose sum is σ = 10925280. Its totient is φ = 1213760.

The previous prime is 4005653. The next prime is 4005691. The reversal of 4005672 is 2765004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4005653) and next prime (4005691).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 7323 + ... + 7850.

It is an arithmetic number, because the mean of its divisors is an integer number (341415).

Almost surely, 2^4005672 is an apocalyptic number.

It is an amenable number.

4005672 is an abundant number, since it is smaller than the sum of its proper divisors (6919608).

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

4005672 is a wasteful number, since it uses less digits than its factorization.

4005672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15193 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4005672 is about 2001.4174976751. The cubic root of 4005672 is about 158.8151009164.

The spelling of 4005672 in words is "four million, five thousand, six hundred seventy-two".