22182072 has 64 divisors (see below), whose sum is σ = 61378560. Its totient is φ = 6624000.

The previous prime is 22182067. The next prime is 22182079. The reversal of 22182072 is 27028122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22182079) 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, 18697 + ... + 19847.

It is an arithmetic number, because the mean of its divisors is an integer number (959040).

Almost surely, 2^22182072 is an apocalyptic number.

22182072 is a gapful number since it is divisible by the number (22) 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 22182072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689280).

22182072 is an abundant number, since it is smaller than the sum of its proper divisors (39196488).

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

22182072 is a wasteful number, since it uses less digits than its factorization.

22182072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 22182072 is about 4709.7847084554. The cubic root of 22182072 is about 280.9747996465.

The spelling of 22182072 in words is "twenty-two million, one hundred eighty-two thousand, seventy-two".