220752 has 80 divisors (see below), whose sum is σ = 734080. Its totient is φ = 62208.

The previous prime is 220747. The next prime is 220757. The reversal of 220752 is 257022.

It is a happy number.

220752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220747) and next prime (220757).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988 + ... + 3060.

It is an arithmetic number, because the mean of its divisors is an integer number (9176).

2²²⁰⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367040).

220752 is an abundant number, since it is smaller than the sum of its proper divisors (513328).

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

220752 is a wasteful number, since it uses less digits than its factorization.

220752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 220752 is about 469.8425268108. The cubic root of 220752 is about 60.4368122011.

Adding to 220752 its reverse (257022), we get a palindrome (477774).

The spelling of 220752 in words is "two hundred twenty thousand, seven hundred fifty-two".