4187232 has 144 divisors (see below), whose sum is σ = 14257152. Its totient is φ = 1140480.

The previous prime is 4187213. The next prime is 4187233. The reversal of 4187232 is 2327814.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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

It is a junction number, because it is equal to n+sod(n) for n = 4187196 and 4187205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4187233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62463 + ... + 62529.

It is an arithmetic number, because the mean of its divisors is an integer number (99008).

Almost surely, 2^4187232 is an apocalyptic number.

4187232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128576).

4187232 is an abundant number, since it is smaller than the sum of its proper divisors (10069920).

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

4187232 is a wasteful number, since it uses less digits than its factorization.

4187232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4187232 is about 2046.2727090982. The cubic root of 4187232 is about 161.1792045453.

The spelling of 4187232 in words is "four million, one hundred eighty-seven thousand, two hundred thirty-two".