22005672 has 64 divisors (see below), whose sum is σ = 59693760. Its totient is φ = 6720000.

The previous prime is 22005649. The next prime is 22005673. The reversal of 22005672 is 27650022.

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 (22005673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78172 + ... + 78452.

It is an arithmetic number, because the mean of its divisors is an integer number (932715).

Almost surely, 2^22005672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22005672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29846880).

22005672 is an abundant number, since it is smaller than the sum of its proper divisors (37688088).

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

22005672 is a wasteful number, since it uses less digits than its factorization.

22005672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 22005672 is about 4691.0203580884. The cubic root of 22005672 is about 280.2280115526.

Adding to 22005672 its reverse (27650022), we get a palindrome (49655694).

The spelling of 22005672 in words is "twenty-two million, five thousand, six hundred seventy-two".