223765872 has 160 divisors (see below), whose sum is σ = 658243584. Its totient is φ = 64915200.

The previous prime is 223765811. The next prime is 223765889. The reversal of 223765872 is 278567322.

223765872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761873 + ... + 1761999.

Almost surely, 2^223765872 is an apocalyptic number.

223765872 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 223765872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329121792).

223765872 is an abundant number, since it is smaller than the sum of its proper divisors (434477712).

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

223765872 is a wasteful number, since it uses less digits than its factorization.

223765872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 223765872 is about 14958.8058346915. The cubic root of 223765872 is about 607.1061282009.

The spelling of 223765872 in words is "two hundred twenty-three million, seven hundred sixty-five thousand, eight hundred seventy-two".