224670072 has 128 divisors (see below), whose sum is σ = 646133760. Its totient is φ = 64437120.

The previous prime is 224670071. The next prime is 224670073. The reversal of 224670072 is 270076422.

It is an interprime number because it is at equal distance from previous prime (224670071) and next prime (224670073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224670071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989623 + ... + 989849.

It is an arithmetic number, because the mean of its divisors is an integer number (5047920).

Almost surely, 2^224670072 is an apocalyptic number.

224670072 is a gapful number since it is divisible by the number (22) 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 224670072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323066880).

224670072 is an abundant number, since it is smaller than the sum of its proper divisors (421463688).

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

224670072 is a wasteful number, since it uses less digits than its factorization.

224670072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 224670072 is about 14988.9983654679. The cubic root of 224670072 is about 607.9227669094.

The spelling of 224670072 in words is "two hundred twenty-four million, six hundred seventy thousand, seventy-two".