22752000 has 216 divisors, whose sum is σ = 82904640. Its totient is φ = 5990400.

The previous prime is 22751977. The next prime is 22752013. The reversal of 22752000 is 25722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287961 + ... + 288039.

Almost surely, 2^22752000 is an apocalyptic number.

22752000 is a gapful number since it is divisible by the number (20) 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 22752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41452320).

22752000 is an abundant number, since it is smaller than the sum of its proper divisors (60152640).

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

22752000 is an equidigital number, since it uses as much as digits as its factorization.

22752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 22752000 is about 4769.9056594444. The cubic root of 22752000 is about 283.3608585331.

Adding to 22752000 its reverse (25722), we get a palindrome (22777722).

The spelling of 22752000 in words is "twenty-two million, seven hundred fifty-two thousand".