4084272 has 60 divisors (see below), whose sum is σ = 11577384. Its totient is φ = 1344000.

The previous prime is 4084261. The next prime is 4084279. The reversal of 4084272 is 2724804.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4084279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16147 + ... + 16397.

Almost surely, 2^4084272 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 4084272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788692).

4084272 is an abundant number, since it is smaller than the sum of its proper divisors (7493112).

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

4084272 is a wasteful number, since it uses less digits than its factorization.

4084272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4084272 is about 2020.9581885828. The cubic root of 4084272 is about 159.8471456854.

It can be divided in two parts, 4084 and 272, that added together give a square (4356 = 66²).

The spelling of 4084272 in words is "four million, eighty-four thousand, two hundred seventy-two".