36512 has 24 divisors (see below), whose sum is σ = 82656. Its totient is φ = 15552.

The previous prime is 36497. The next prime is 36523. The reversal of 36512 is 21563.

It is a super-2 number, since 2×36512² = 2666252288, which contains 22 as substring.

Its product of digits (180) is a multiple of the sum of its prime factors (180).

It is a nialpdrome in base 14.

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 36512.

It is an unprimeable number.

36512 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 3 ways as a sum of consecutive naturals, for example, 143 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (3444).

2³⁶⁵¹² is an apocalyptic number.

36512 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 36512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41328).

36512 is an abundant number, since it is smaller than the sum of its proper divisors (46144).

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

36512 is a wasteful number, since it uses less digits than its factorization.

36512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 36512 is about 191.0811345999. The cubic root of 36512 is about 33.1750720120.

The spelling of 36512 in words is "thirty-six thousand, five hundred twelve".