36252 has 36 divisors (see below), whose sum is σ = 98280. Its totient is φ = 11232.

The previous prime is 36251. The next prime is 36263. The reversal of 36252 is 25263.

36252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a plaindrome in base 13.

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 36252.

It is not an unprimeable number, because it can be changed into a prime (36251) 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, 658 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2³⁶²⁵² 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 36252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

36252 is an abundant number, since it is smaller than the sum of its proper divisors (62028).

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

36252 is a wasteful number, since it uses less digits than its factorization.

36252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 36252 is about 190.3995798315. The cubic root of 36252 is about 33.0961383824.

It can be divided in two parts, 362 and 52, that added together give a palindrome (414).

The spelling of 36252 in words is "thirty-six thousand, two hundred fifty-two".