36432 has 60 divisors (see below), whose sum is σ = 116064. Its totient is φ = 10560.

The previous prime is 36389. The next prime is 36433. The reversal of 36432 is 23463.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (432) is a multiple of the sum of its prime factors (48).

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 36432.

It is not an unprimeable number, because it can be changed into a prime (36433) 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, 1573 + ... + 1595.

2³⁶⁴³² 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 36432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032).

36432 is an abundant number, since it is smaller than the sum of its proper divisors (79632).

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

36432 is a wasteful number, since it uses less digits than its factorization.

36432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 39 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 36432 is about 190.8716846470. The cubic root of 36432 is about 33.1508247647.

Adding to 36432 its product of digits (432), we get a square (36864 = 192²).

Adding to 36432 its reverse (23463), we get a palindrome (59895).

The spelling of 36432 in words is "thirty-six thousand, four hundred thirty-two".