224121072 has 80 divisors (see below), whose sum is σ = 683067392. Its totient is φ = 61966080.

The previous prime is 224121061. The next prime is 224121089. The reversal of 224121072 is 270121422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343 + ... + 21174.

Almost surely, 2^224121072 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 224121072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341533696).

224121072 is an abundant number, since it is smaller than the sum of its proper divisors (458946320).

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

224121072 is a wasteful number, since it uses less digits than its factorization.

224121072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21566 (or 21560 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 224121072 is about 14970.6737323342. The cubic root of 224121072 is about 607.4271930901.

Adding to 224121072 its reverse (270121422), we get a palindrome (494242494).

The spelling of 224121072 in words is "two hundred twenty-four million, one hundred twenty-one thousand, seventy-two".