852192 has 72 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 257280.

The previous prime is 852191. The next prime is 852197. The reversal of 852192 is 291258.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3034 + ... + 3302.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁸⁵²¹⁹² 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 852192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780).

852192 is an abundant number, since it is smaller than the sum of its proper divisors (1801368).

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

852192 is a wasteful number, since it uses less digits than its factorization.

852192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 852192 is about 923.1424592120. The cubic root of 852192 is about 94.8081817432.

Subtracting from 852192 its sum of digits (27), we obtain a triangular number (852165 = T₁₃₀₅).

The spelling of 852192 in words is "eight hundred fifty-two thousand, one hundred ninety-two".