122752 has 32 divisors (see below), whose sum is σ = 281520. Its totient is φ = 52224.

The previous prime is 122743. The next prime is 122753. The reversal of 122752 is 257221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122753) by changing a digit.

122752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 828 + ... + 964.

2¹²²⁷⁵² 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 122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140760).

122752 is an abundant number, since it is smaller than the sum of its proper divisors (158768).

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

122752 is an equidigital number, since it uses as much as digits as its factorization.

122752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its digits is 280, while the sum is 19.

The square root of 122752 is about 350.3598150473. The cubic root of 122752 is about 49.6984516951.

Adding to 122752 its reverse (257221), we get a palindrome (379973).

The spelling of 122752 in words is "one hundred twenty-two thousand, seven hundred fifty-two".