10822272 has 32 divisors (see below), whose sum is σ = 28747680. Its totient is φ = 3607296.

The previous prime is 10822271. The next prime is 10822277. The reversal of 10822272 is 27222801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (10822271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13708 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (898365).

Almost surely, 2^10822272 is an apocalyptic number.

10822272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10822272 is an abundant number, since it is smaller than the sum of its proper divisors (17925408).

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

10822272 is an equidigital number, since it uses as much as digits as its factorization.

10822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28200 (or 28188 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10822272 is about 3289.7221767195. The cubic root of 10822272 is about 221.1937314217.

The spelling of 10822272 in words is "ten million, eight hundred twenty-two thousand, two hundred seventy-two".