22536672 has 48 divisors (see below), whose sum is σ = 59531472. Its totient is φ = 7464960.

The previous prime is 22536671. The next prime is 22536673. The reversal of 22536672 is 27663522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22536671) and next prime (22536673).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22536671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16728 + ... + 18024.

It is an arithmetic number, because the mean of its divisors is an integer number (1240239).

Almost surely, 2^22536672 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 22536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29765736).

22536672 is an abundant number, since it is smaller than the sum of its proper divisors (36994800).

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

22536672 is a wasteful number, since it uses less digits than its factorization.

22536672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 22536672 is about 4747.2804846565. The cubic root of 22536672 is about 282.4641017376.

The spelling of 22536672 in words is "twenty-two million, five hundred thirty-six thousand, six hundred seventy-two".