22320672 has 96 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 6462720.

The previous prime is 22320667. The next prime is 22320679. The reversal of 22320672 is 27602322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22320672³ (a number of 23 digits) contains 333 as substring.

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 (22320679) 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, 23829 + ... + 24747.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 2^22320672 is an apocalyptic number.

22320672 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 22320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384960).

22320672 is an abundant number, since it is smaller than the sum of its proper divisors (44449248).

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

22320672 is a wasteful number, since it uses less digits than its factorization.

22320672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 22320672 is about 4724.4758439429. The cubic root of 22320672 is about 281.5587889503.

Adding to 22320672 its reverse (27602322), we get a palindrome (49922994).

The spelling of 22320672 in words is "twenty-two million, three hundred twenty thousand, six hundred seventy-two".