36132432 has 80 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 10123776.

The previous prime is 36132419. The next prime is 36132469. The reversal of 36132432 is 23423163.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16794 + ... + 18822.

It is an arithmetic number, because the mean of its divisors is an integer number (1359288).

Almost surely, 2^36132432 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 36132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

36132432 is an abundant number, since it is smaller than the sum of its proper divisors (72610608).

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

36132432 is a wasteful number, since it uses less digits than its factorization.

36132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2094 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 36132432 is about 6011.0258691841. The cubic root of 36132432 is about 330.5971190738.

Adding to 36132432 its reverse (23423163), we get a palindrome (59555595).

The spelling of 36132432 in words is "thirty-six million, one hundred thirty-two thousand, four hundred thirty-two".