252192 has 48 divisors (see below), whose sum is σ = 689472. Its totient is φ = 80640.

The previous prime is 252181. The next prime is 252193. The reversal of 252192 is 291252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252193) by changing a digit.

252192 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 7 ways as a sum of consecutive naturals, for example, 3517 + ... + 3587.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2²⁵²¹⁹² 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 252192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

252192 is an abundant number, since it is smaller than the sum of its proper divisors (437280).

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

252192 is a wasteful number, since it uses less digits than its factorization.

252192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 252192 is about 502.1872160858. The cubic root of 252192 is about 63.1796334524.

Subtracting 252192 from its reverse (291252), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 252 and 192, that multiplied together give a palindrome (48384).

The spelling of 252192 in words is "two hundred fifty-two thousand, one hundred ninety-two".