2232672 has 48 divisors (see below), whose sum is σ = 6315120. Its totient is φ = 686592.

The previous prime is 2232653. The next prime is 2232673. The reversal of 2232672 is 2762322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2232672³ = 33388432647881785344, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁷ + 2¹¹ + 3⁷ + 2¹⁷ + 6² + 7² + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354 + ... + 2142.

It is an arithmetic number, because the mean of its divisors is an integer number (131565).

2^2232672 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 2232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157560).

2232672 is an abundant number, since it is smaller than the sum of its proper divisors (4082448).

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

2232672 is a wasteful number, since it uses less digits than its factorization.

2232672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1807 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 2232672 is about 1494.2128362452. The cubic root of 2232672 is about 130.6998157370.

Adding to 2232672 its reverse (2762322), we get a palindrome (4994994).

The spelling of 2232672 in words is "two million, two hundred thirty-two thousand, six hundred seventy-two".