223005726720 has 1728 divisors, whose sum is σ = 978774451200. Its totient is φ = 48492380160.

The previous prime is 223005726707. The next prime is 223005726721. The reversal of 223005726720 is 27627500322.

223005726720 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 0 + 572 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223005726721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3779758051 + ... + 3779758109.

It is an arithmetic number, because the mean of its divisors is an integer number (566420400).

Almost surely, 2^223005726720 is an apocalyptic number.

223005726720 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 223005726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489387225600).

223005726720 is an abundant number, since it is smaller than the sum of its proper divisors (755768724480).

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

223005726720 is an equidigital number, since it uses as much as digits as its factorization.

223005726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 223005726720 in words is "two hundred twenty-three billion, five million, seven hundred twenty-six thousand, seven hundred twenty".