221579072 has 168 divisors, whose sum is σ = 544836096. Its totient is φ = 88704000.

The previous prime is 221579069. The next prime is 221579077. The reversal of 221579072 is 270975122.

221579072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221579077) 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 23 ways as a sum of consecutive naturals, for example, 3120797 + ... + 3120867.

It is an arithmetic number, because the mean of its divisors is an integer number (3243072).

Almost surely, 2^221579072 is an apocalyptic number.

221579072 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 221579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272418048).

221579072 is an abundant number, since it is smaller than the sum of its proper divisors (323257024).

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

221579072 is a wasteful number, since it uses less digits than its factorization.

221579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 221579072 is about 14885.5323048926. The cubic root of 221579072 is about 605.1219588843.

The spelling of 221579072 in words is "two hundred twenty-one million, five hundred seventy-nine thousand, seventy-two".