16822272 has 78 divisors (see below), whose sum is σ = 46098948. Its totient is φ = 5455872.

The previous prime is 16822261. The next prime is 16822283. The reversal of 16822272 is 27222861.

It is an interprime number because it is at equal distance from previous prime (16822261) and next prime (16822283).

Its product of digits (5376) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 454638 + ... + 454674.

Almost surely, 2^16822272 is an apocalyptic number.

16822272 is a gapful number since it is divisible by the number (12) 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 16822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23049474).

16822272 is an abundant number, since it is smaller than the sum of its proper divisors (29276676).

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

16822272 is an frugal number, since it uses more digits than its factorization.

16822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 42 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 16822272 is about 4101.4963123231. The cubic root of 16822272 is about 256.2289618262.

The spelling of 16822272 in words is "sixteen million, eight hundred twenty-two thousand, two hundred seventy-two".