2006272 has 36 divisors (see below), whose sum is σ = 4249476. Its totient is φ = 942080.

The previous prime is 2006239. The next prime is 2006273. The reversal of 2006272 is 2726002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 891136 = 1056^2 + 944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006273) 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, 4122 + ... + 4582.

It is an arithmetic number, because the mean of its divisors is an integer number (118041).

2^2006272 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 2006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124738).

2006272 is an abundant number, since it is smaller than the sum of its proper divisors (2243204).

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

2006272 is an equidigital number, since it uses as much as digits as its factorization.

2006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2006272 is about 1416.4293134498. The cubic root of 2006272 is about 126.1236713016.

It can be divided in two parts, 2006 and 272, that added together give a triangular number (2278 = T₆₇).

The spelling of 2006272 in words is "two million, six thousand, two hundred seventy-two".