3872272 has 40 divisors (see below), whose sum is σ = 7991552. Its totient is φ = 1814400.

The previous prime is 3872249. The next prime is 3872273. The reversal of 3872272 is 2722783.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (3872273) 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, 18247 + ... + 18457.

Almost surely, 2^3872272 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 3872272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995776).

3872272 is an abundant number, since it is smaller than the sum of its proper divisors (4119280).

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

3872272 is a wasteful number, since it uses less digits than its factorization.

3872272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 3872272 is about 1967.8089338145. The cubic root of 3872272 is about 157.0321651003.

The spelling of 3872272 in words is "three million, eight hundred seventy-two thousand, two hundred seventy-two".