223746072 has 64 divisors (see below), whose sum is σ = 621768960. Its totient is φ = 66518400.

The previous prime is 223746059. The next prime is 223746073. The reversal of 223746072 is 270647322.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223746073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5997 + ... + 21987.

It is an arithmetic number, because the mean of its divisors is an integer number (9715140).

Almost surely, 2^223746072 is an apocalyptic number.

223746072 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 223746072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310884480).

223746072 is an abundant number, since it is smaller than the sum of its proper divisors (398022888).

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

223746072 is a wasteful number, since it uses less digits than its factorization.

223746072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16064 (or 16060 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 223746072 is about 14958.1440025158. The cubic root of 223746072 is about 607.0882210080.

The spelling of 223746072 in words is "two hundred twenty-three million, seven hundred forty-six thousand, seventy-two".