22122672 has 120 divisors (see below), whose sum is σ = 67881072. Its totient is φ = 6167040.

The previous prime is 22122671. The next prime is 22122689. The reversal of 22122672 is 27622122.

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

It is not an unprimeable number, because it can be changed into a prime (22122671) 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, 75358 + ... + 75650.

Almost surely, 2^22122672 is an apocalyptic number.

22122672 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 22122672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33940536).

22122672 is an abundant number, since it is smaller than the sum of its proper divisors (45758400).

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

22122672 is a wasteful number, since it uses less digits than its factorization.

22122672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 22122672 is about 4703.4744604388. The cubic root of 22122672 is about 280.7237737591.

Adding to 22122672 its reverse (27622122), we get a palindrome (49744794).

It can be divided in two parts, 2212 and 2672, that added together give a palindrome (4884).

The spelling of 22122672 in words is "twenty-two million, one hundred twenty-two thousand, six hundred seventy-two".