22663872 has 252 divisors, whose sum is σ = 83567016. Its totient is φ = 5806080.

The previous prime is 22663871. The next prime is 22663891. The reversal of 22663872 is 27836622.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (48384) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22663871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310428 + ... + 310500.

Almost surely, 2^22663872 is an apocalyptic number.

22663872 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 22663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783508).

22663872 is an abundant number, since it is smaller than the sum of its proper divisors (60903144).

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

22663872 is a wasteful number, since it uses less digits than its factorization.

22663872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22663872 is about 4760.6587779424. The cubic root of 22663872 is about 282.9945268163.

The spelling of 22663872 in words is "twenty-two million, six hundred sixty-three thousand, eight hundred seventy-two".