4006872 has 96 divisors (see below), whose sum is σ = 11934000. Its totient is φ = 1209600.

The previous prime is 4006861. The next prime is 4006879. The reversal of 4006872 is 2786004.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39622 + ... + 39722.

Almost surely, 2^4006872 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 4006872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967000).

4006872 is an abundant number, since it is smaller than the sum of its proper divisors (7927128).

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

4006872 is a wasteful number, since it uses less digits than its factorization.

4006872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4006872 is about 2001.7172627522. The cubic root of 4006872 is about 158.8309583550.

It can be divided in two parts, 400687 and 2, that added together give a square (400689 = 633²).

The spelling of 4006872 in words is "four million, six thousand, eight hundred seventy-two".