36865728 has 84 divisors (see below), whose sum is σ = 109362240. Its totient is φ = 11859456.

The previous prime is 36865693. The next prime is 36865739. The reversal of 36865728 is 82756863.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15601 + ... + 17807.

Almost surely, 2^36865728 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 36865728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54681120).

36865728 is an abundant number, since it is smaller than the sum of its proper divisors (72496512).

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

36865728 is a wasteful number, since it uses less digits than its factorization.

36865728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2241 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 36865728 is about 6071.7154083504. The cubic root of 36865728 is about 332.8186118166.

The spelling of 36865728 in words is "thirty-six million, eight hundred sixty-five thousand, seven hundred twenty-eight".