3226272 has 48 divisors (see below), whose sum is σ = 9680832. Its totient is φ = 921600.

The previous prime is 3226271. The next prime is 3226309. The reversal of 3226272 is 2726223.

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

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

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

It is a d-powerful number, because it can be written as 3¹⁰ + 2⁹ + 2¹³ + 6⁸ + 2¹⁷ + 7⁷ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (3226271) 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, 1729 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (201684).

Almost surely, 2^3226272 is an apocalyptic number.

3226272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3226272 is an abundant number, since it is smaller than the sum of its proper divisors (6454560).

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

3226272 is a wasteful number, since it uses less digits than its factorization.

3226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4813 counting only the distinct ones).

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

The square root of 3226272 is about 1796.1826187779. The cubic root of 3226272 is about 147.7634399609.

The spelling of 3226272 in words is "three million, two hundred twenty-six thousand, two hundred seventy-two".