36527920 has 160 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 11750400.

The previous prime is 36527893. The next prime is 36527923. The reversal of 36527920 is 2972563.

It is a happy number.

36527920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36527923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354589 + ... + 354691.

Almost surely, 2^36527920 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 36527920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

36527920 is an abundant number, since it is smaller than the sum of its proper divisors (67465424).

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

36527920 is a wasteful number, since it uses less digits than its factorization.

36527920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 36527920 is about 6043.8332207300. The cubic root of 36527920 is about 331.7989298781.

The spelling of 36527920 in words is "thirty-six million, five hundred twenty-seven thousand, nine hundred twenty".