22272000 has 192 divisors, whose sum is σ = 76658400. Its totient is φ = 5734400.

The previous prime is 22271987. The next prime is 22272011. The reversal of 22272000 is 27222.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 767986 + ... + 768014.

Almost surely, 2^22272000 is an apocalyptic number.

22272000 is a gapful number since it is divisible by the number (20) 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 22272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329200).

22272000 is an abundant number, since it is smaller than the sum of its proper divisors (54386400).

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

22272000 is an equidigital number, since it uses as much as digits as its factorization.

22272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 22272000 is about 4719.3219852008. The cubic root of 22272000 is about 281.3539862399.

Adding to 22272000 its reverse (27222), we get a palindrome (22299222).

The spelling of 22272000 in words is "twenty-two million, two hundred seventy-two thousand".