22185072 has 120 divisors (see below), whose sum is σ = 76460384. Its totient is φ = 5847552.

The previous prime is 22185049. The next prime is 22185077. The reversal of 22185072 is 27058122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22185077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12258 + ... + 13950.

Almost surely, 2^22185072 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 22185072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38230192).

22185072 is an abundant number, since it is smaller than the sum of its proper divisors (54275312).

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

22185072 is a wasteful number, since it uses less digits than its factorization.

22185072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 22185072 is about 4710.1031835831. The cubic root of 22185072 is about 280.9874658273.

The spelling of 22185072 in words is "twenty-two million, one hundred eighty-five thousand, seventy-two".