36192 has 48 divisors (see below), whose sum is σ = 105840. Its totient is φ = 10752.

The previous prime is 36191. The next prime is 36209. The reversal of 36192 is 29163.

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

It is a plaindrome in base 15.

It is a zygodrome in base 15.

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 36192.

It is not an unprimeable number, because it can be changed into a prime (36191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1234 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2³⁶¹⁹² is an apocalyptic number.

36192 is a gapful number since it is divisible by the number (32) 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 36192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920).

36192 is an abundant number, since it is smaller than the sum of its proper divisors (69648).

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

36192 is a wasteful number, since it uses less digits than its factorization.

36192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 47 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 36192 is about 190.2419512095. The cubic root of 36192 is about 33.0778693687.

The spelling of 36192 in words is "thirty-six thousand, one hundred ninety-two".