36735168 has 56 divisors (see below), whose sum is σ = 97676208. Its totient is φ = 12184576.

The previous prime is 36735143. The next prime is 36735169. The reversal of 36735168 is 86153763.

It is not an unprimeable number, because it can be changed into a prime (36735169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55930 + ... + 56582.

It is an arithmetic number, because the mean of its divisors is an integer number (1744218).

Almost surely, 2^36735168 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 36735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48838104).

36735168 is an abundant number, since it is smaller than the sum of its proper divisors (60941040).

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

36735168 is a wasteful number, since it uses less digits than its factorization.

36735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 951 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 36735168 is about 6060.9543802936. The cubic root of 36735168 is about 332.4252546479.

The spelling of 36735168 in words is "thirty-six million, seven hundred thirty-five thousand, one hundred sixty-eight".