252720 has 120 divisors (see below), whose sum is σ = 947856. Its totient is φ = 62208.

The previous prime is 252713. The next prime is 252727. The reversal of 252720 is 27252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252713) and next prime (252727).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 252693 and 252702.

It is not an unprimeable number, because it can be changed into a prime (252727) by changing a digit.

252720 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 23 ways as a sum of consecutive naturals, for example, 19434 + ... + 19446.

2²⁵²⁷²⁰ is an apocalyptic number.

252720 is a gapful number since it is divisible by the number (20) 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 252720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473928).

252720 is an abundant number, since it is smaller than the sum of its proper divisors (695136).

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

252720 is a wasteful number, since it uses less digits than its factorization.

252720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

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

The square root of 252720 is about 502.7126415757. The cubic root of 252720 is about 63.2236945818.

Adding to 252720 its reverse (27252), we get a palindrome (279972).

The spelling of 252720 in words is "two hundred fifty-two thousand, seven hundred twenty".