36327312 has 160 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 10091520.

The previous prime is 36327311. The next prime is 36327323. The reversal of 36327312 is 21372363.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (36327311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 123838 + ... + 124130.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 2^36327312 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 36327312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

36327312 is an abundant number, since it is smaller than the sum of its proper divisors (86164848).

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

36327312 is a wasteful number, since it uses less digits than its factorization.

36327312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 36327312 is about 6027.2142819050. The cubic root of 36327312 is about 331.1904114006.

Adding to 36327312 its reverse (21372363), we get a palindrome (57699675).

The spelling of 36327312 in words is "thirty-six million, three hundred twenty-seven thousand, three hundred twelve".