2167272 has 48 divisors (see below), whose sum is σ = 6065280. Its totient is φ = 698400.

The previous prime is 2167261. The next prime is 2167289. The reversal of 2167272 is 2727612.

It is an alternating number because its digits alternate between even and odd.

2167272 is a modest number, since divided by 7272 gives 216 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1747 + ... + 2717.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

2^2167272 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 2167272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640).

2167272 is an abundant number, since it is smaller than the sum of its proper divisors (3898008).

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

2167272 is a wasteful number, since it uses less digits than its factorization.

2167272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 2167272 is about 1472.1657515375. The cubic root of 2167272 is about 129.4109841794.

The spelling of 2167272 in words is "two million, one hundred sixty-seven thousand, two hundred seventy-two".