22752576 has 336 divisors, whose sum is σ = 88757760. Its totient is φ = 5598720.

The previous prime is 22752571. The next prime is 22752593. The reversal of 22752576 is 67525722.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (58800) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 22752576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22752571) 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 47 ways as a sum of consecutive naturals, for example, 1197495 + ... + 1197513.

It is an arithmetic number, because the mean of its divisors is an integer number (264160).

Almost surely, 2^22752576 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 22752576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44378880).

22752576 is an abundant number, since it is smaller than the sum of its proper divisors (66005184).

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

22752576 is a wasteful number, since it uses less digits than its factorization.

22752576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 22752576 is about 4769.9660376149. The cubic root of 22752576 is about 283.3632497438.

It can be divided in two parts, 2275 and 2576, that added together give a triangular number (4851 = T₉₈).

The spelling of 22752576 in words is "twenty-two million, seven hundred fifty-two thousand, five hundred seventy-six".