4065672 has 64 divisors (see below), whose sum is σ = 11148480. Its totient is φ = 1228032.

The previous prime is 4065667. The next prime is 4065697. The reversal of 4065672 is 2765604.

It is a super-3 number, since 3×4065672³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25818 + ... + 25974.

It is an arithmetic number, because the mean of its divisors is an integer number (174195).

Almost surely, 2^4065672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574240).

4065672 is an abundant number, since it is smaller than the sum of its proper divisors (7082808).

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

4065672 is a wasteful number, since it uses less digits than its factorization.

4065672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 4065672 is about 2016.3511598925. The cubic root of 4065672 is about 159.6041254956.

The spelling of 4065672 in words is "four million, sixty-five thousand, six hundred seventy-two".