52192 has 24 divisors (see below), whose sum is σ = 117936. Its totient is φ = 22272.

The previous prime is 52189. The next prime is 52201. The reversal of 52192 is 29125.

52192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁵²¹⁹² 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 52192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968).

52192 is an abundant number, since it is smaller than the sum of its proper divisors (65744).

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

52192 is a wasteful number, since it uses less digits than its factorization.

52192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 180, while the sum is 19.

The square root of 52192 is about 228.4556849807. The cubic root of 52192 is about 37.3709937429.

It can be divided in two parts, 5 and 2192, that added together give a cube (2197 = 13³).

The spelling of 52192 in words is "fifty-two thousand, one hundred ninety-two".