223872000 has 352 divisors, whose sum is σ = 827708544. Its totient is φ = 53248000.

The previous prime is 223871993. The next prime is 223872029. The reversal of 223872000 is 278322.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223974 + ... + 4224026.

Almost surely, 2^223872000 is an apocalyptic number.

223872000 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 223872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413854272).

223872000 is an abundant number, since it is smaller than the sum of its proper divisors (603836544).

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

223872000 is a wasteful number, since it uses less digits than its factorization.

223872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 223872000 is about 14962.3527561677. The cubic root of 223872000 is about 607.2020927540.

It can be divided in two parts, 22 and 3872000, that multiplied together give a cube (85184000 = 440³).

The spelling of 223872000 in words is "two hundred twenty-three million, eight hundred seventy-two thousand".