4006272 has 32 divisors (see below), whose sum is σ = 10642680. Its totient is φ = 1335296.

The previous prime is 4006259. The next prime is 4006273. The reversal of 4006272 is 2726004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4833 + ... + 5600.

Almost surely, 2^4006272 is an apocalyptic number.

It is an amenable number.

4006272 is an abundant number, since it is smaller than the sum of its proper divisors (6636408).

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

4006272 is a wasteful number, since it uses less digits than its factorization.

4006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4006272 is about 2001.5673858254. The cubic root of 4006272 is about 158.8230300315.

It can be divided in two parts, 4006 and 272, that added together give a triangular number (4278 = T₉₂).

The spelling of 4006272 in words is "four million, six thousand, two hundred seventy-two".