2113272 has 72 divisors (see below), whose sum is σ = 6669000. Its totient is φ = 602784.

The previous prime is 2113249. The next prime is 2113273. The reversal of 2113272 is 2723112.

2113272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3229 + ... + 3827.

It is an arithmetic number, because the mean of its divisors is an integer number (92625).

2^2113272 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 2113272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334500).

2113272 is an abundant number, since it is smaller than the sum of its proper divisors (4555728).

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

2113272 is a wasteful number, since it uses less digits than its factorization.

2113272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 611 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2113272 is about 1453.7097371896. The cubic root of 2113272 is about 128.3271255032.

Adding to 2113272 its reverse (2723112), we get a palindrome (4836384).

The spelling of 2113272 in words is "two million, one hundred thirteen thousand, two hundred seventy-two".