22167072 has 72 divisors (see below), whose sum is σ = 66371760. Its totient is φ = 6998400.

The previous prime is 22167071. The next prime is 22167073. The reversal of 22167072 is 27076122.

It is an interprime number because it is at equal distance from previous prime (22167071) and next prime (22167073).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22167071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3447 + ... + 7497.

It is an arithmetic number, because the mean of its divisors is an integer number (921830).

Almost surely, 2^22167072 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 22167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33185880).

22167072 is an abundant number, since it is smaller than the sum of its proper divisors (44204688).

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

22167072 is a wasteful number, since it uses less digits than its factorization.

22167072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 22167072 is about 4708.1920096784. The cubic root of 22167072 is about 280.9114516064.

The spelling of 22167072 in words is "twenty-two million, one hundred sixty-seven thousand, seventy-two".