13822272 has 112 divisors (see below), whose sum is σ = 42875200. Its totient is φ = 4354560.

The previous prime is 13822247. The next prime is 13822297. The reversal of 13822272 is 27222831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13822247) and next prime (13822297).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32622 + ... + 33042.

Almost surely, 2^13822272 is an apocalyptic number.

13822272 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 13822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21437600).

13822272 is an abundant number, since it is smaller than the sum of its proper divisors (29052928).

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

13822272 is a wasteful number, since it uses less digits than its factorization.

13822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 13822272 is about 3717.8316260961. The cubic root of 13822272 is about 239.9899995833.

The spelling of 13822272 in words is "thirteen million, eight hundred twenty-two thousand, two hundred seventy-two".