8322272 has 48 divisors (see below), whose sum is σ = 19105632. Its totient is φ = 3494400.

The previous prime is 8322269. The next prime is 8322277. The reversal of 8322272 is 2722238.

8322272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8322272² = 138520422483968, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁶ + 3¹⁴ + 2⁴ + 2¹⁷ + 2²⁰ + 7³ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8322277) 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, 11522 + ... + 12222.

It is an arithmetic number, because the mean of its divisors is an integer number (398034).

Almost surely, 2^8322272 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 8322272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552816).

8322272 is an abundant number, since it is smaller than the sum of its proper divisors (10783360).

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

8322272 is a wasteful number, since it uses less digits than its factorization.

8322272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 763 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 8322272 is about 2884.8348306272. The cubic root of 8322272 is about 202.6503237822.

The spelling of 8322272 in words is "eight million, three hundred twenty-two thousand, two hundred seventy-two".