3872232 has 128 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 1016064.

The previous prime is 3872221. The next prime is 3872237. The reversal of 3872232 is 2322783.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 3872196 and 3872205.

It is not an unprimeable number, because it can be changed into a prime (3872237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19558 + ... + 19754.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

Almost surely, 2^3872232 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 3872232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

3872232 is an abundant number, since it is smaller than the sum of its proper divisors (9433368).

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

3872232 is a wasteful number, since it uses less digits than its factorization.

3872232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3872232 is about 1967.7987701998. The cubic root of 3872232 is about 157.0316243921.

The spelling of 3872232 in words is "three million, eight hundred seventy-two thousand, two hundred thirty-two".