224541072 has 200 divisors, whose sum is σ = 758362176. Its totient is φ = 62809344.

The previous prime is 224541071. The next prime is 224541073. The reversal of 224541072 is 270145422.

224541072 is a `hidden beast` number, since 2 + 245 + 410 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (224541071) and next prime (224541073).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (224541071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 480583 + ... + 481049.

Almost surely, 2^224541072 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 224541072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379181088).

224541072 is an abundant number, since it is smaller than the sum of its proper divisors (533821104).

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

224541072 is a wasteful number, since it uses less digits than its factorization.

224541072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 224541072 is about 14984.6945914823. The cubic root of 224541072 is about 607.8063932266.

Adding to 224541072 its reverse (270145422), we get a palindrome (494686494).

The spelling of 224541072 in words is "two hundred twenty-four million, five hundred forty-one thousand, seventy-two".