207252 has 48 divisors (see below), whose sum is σ = 571200. Its totient is φ = 64800.

The previous prime is 207241. The next prime is 207257. The reversal of 207252 is 252702.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 207252.

It is not an unprimeable number, because it can be changed into a prime (207257) by changing a digit.

207252 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 15 ways as a sum of consecutive naturals, for example, 2002 + ... + 2102.

It is an arithmetic number, because the mean of its divisors is an integer number (11900).

2²⁰⁷²⁵² is an apocalyptic number.

207252 is the 228-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285600).

207252 is an abundant number, since it is smaller than the sum of its proper divisors (363948).

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

207252 is a wasteful number, since it uses less digits than its factorization.

207252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

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

The square root of 207252 is about 455.2493822072. The cubic root of 207252 is about 59.1788121158.

Adding to 207252 its reverse (252702), we get a palindrome (459954).

The spelling of 207252 in words is "two hundred seven thousand, two hundred fifty-two".