121752 has 48 divisors (see below), whose sum is σ = 351000. Its totient is φ = 38016.

The previous prime is 121727. The next prime is 121763. The reversal of 121752 is 257121.

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

It is a d-powerful number, because it can be written as 1 + 2¹¹ + 7⁶ + 1 + 5 + 2¹¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324 + ... + 1412.

2¹²¹⁷⁵² is an apocalyptic number.

121752 is a gapful number since it is divisible by the number (12) 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 121752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175500).

121752 is an abundant number, since it is smaller than the sum of its proper divisors (229248).

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

121752 is a wasteful number, since it uses less digits than its factorization.

121752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 121752 is about 348.9297923652. The cubic root of 121752 is about 49.5631272955.

Adding to 121752 its reverse (257121), we get a palindrome (378873).

It can be divided in two parts, 12 and 1752, that added together give a square (1764 = 42²).

The spelling of 121752 in words is "one hundred twenty-one thousand, seven hundred fifty-two".