8224272 has 120 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 2280960.

The previous prime is 8224261. The next prime is 8224289. The reversal of 8224272 is 2724228.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41229 + ... + 41427.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^8224272 is an apocalyptic number.

8224272 is a gapful number since it is divisible by the number (82) 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 8224272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

8224272 is an abundant number, since it is smaller than the sum of its proper divisors (18857328).

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

8224272 is a wasteful number, since it uses less digits than its factorization.

8224272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 8224272 is about 2867.7991561474. The cubic root of 8224272 is about 201.8517357939.

The spelling of 8224272 in words is "eight million, two hundred twenty-four thousand, two hundred seventy-two".