22472800 has 72 divisors (see below), whose sum is σ = 62714736. Its totient is φ = 7703040.

The previous prime is 22472753. The next prime is 22472809. The reversal of 22472800 is 827422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22472809) 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 11 ways as a sum of consecutive naturals, for example, 3594 + ... + 7606.

It is an arithmetic number, because the mean of its divisors is an integer number (871038).

Almost surely, 2^22472800 is an apocalyptic number.

22472800 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 22472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31357368).

22472800 is an abundant number, since it is smaller than the sum of its proper divisors (40241936).

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

22472800 is a wasteful number, since it uses less digits than its factorization.

22472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 22472800 is about 4740.5484914723. The cubic root of 22472800 is about 282.1970019922.

It can be divided in two parts, 22472 and 800, that multiplied together give a square (17977600 = 4240²).

The spelling of 22472800 in words is "twenty-two million, four hundred seventy-two thousand, eight hundred".