22072128 has 112 divisors (see below), whose sum is σ = 64861440. Its totient is φ = 6580224.

The previous prime is 22072121. The next prime is 22072139. The reversal of 22072128 is 82127022.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22072098 and 22072107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22072121) 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, 92233 + ... + 92471.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 2^22072128 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 22072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32430720).

22072128 is an abundant number, since it is smaller than the sum of its proper divisors (42789312).

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

22072128 is a wasteful number, since it uses less digits than its factorization.

22072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

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

The square root of 22072128 is about 4698.0983386898. The cubic root of 22072128 is about 280.5098194649.

The spelling of 22072128 in words is "twenty-two million, seventy-two thousand, one hundred twenty-eight".