36727936 has 64 divisors (see below), whose sum is σ = 84456000. Its totient is φ = 15584256.

The previous prime is 36727909. The next prime is 36727961. The reversal of 36727936 is 63972763.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 36727892 and 36727901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160270 + ... + 160498.

It is an arithmetic number, because the mean of its divisors is an integer number (1319625).

Almost surely, 2^36727936 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 36727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42228000).

36727936 is an abundant number, since it is smaller than the sum of its proper divisors (47728064).

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

36727936 is a wasteful number, since it uses less digits than its factorization.

36727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its digits is 285768, while the sum is 43.

The square root of 36727936 is about 6060.3577452160. The cubic root of 36727936 is about 332.4034385214.

The spelling of 36727936 in words is "thirty-six million, seven hundred twenty-seven thousand, nine hundred thirty-six".