22272768 has 108 divisors (see below), whose sum is σ = 73445008. Its totient is φ = 6359040.

The previous prime is 22272749. The next prime is 22272793. The reversal of 22272768 is 86727222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15438 + ... + 16818.

Almost surely, 2^22272768 is an apocalyptic number.

22272768 is a gapful number since it is divisible by the number (28) 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 22272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36722504).

22272768 is an abundant number, since it is smaller than the sum of its proper divisors (51172240).

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

22272768 is a wasteful number, since it uses less digits than its factorization.

22272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1393 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 22272768 is about 4719.4033521198. The cubic root of 22272768 is about 281.3572201566.

The spelling of 22272768 in words is "twenty-two million, two hundred seventy-two thousand, seven hundred sixty-eight".