22419072 has 128 divisors (see below), whose sum is σ = 71400000. Its totient is φ = 6884352.

The previous prime is 22419037. The next prime is 22419079. The reversal of 22419072 is 27091422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22419072² = 1005229578682368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22419079) 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, 44679 + ... + 45177.

Almost surely, 2^22419072 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 22419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35700000).

22419072 is an abundant number, since it is smaller than the sum of its proper divisors (48980928).

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

22419072 is a wasteful number, since it uses less digits than its factorization.

22419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 22419072 is about 4734.8782455307. The cubic root of 22419072 is about 281.9719302074.

The spelling of 22419072 in words is "twenty-two million, four hundred nineteen thousand, seventy-two".