36766128 has 40 divisors (see below), whose sum is σ = 108548608. Its totient is φ = 10504512.

The previous prime is 36766099. The next prime is 36766129. The reversal of 36766128 is 82166763.

It is a super-2 number, since 2×36766128² = 2703496336224768, which contains 22 as substring.

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 (36766129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54376 + ... + 55047.

Almost surely, 2^36766128 is an apocalyptic number.

It is an amenable number.

36766128 is an abundant number, since it is smaller than the sum of its proper divisors (71782480).

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

36766128 is a wasteful number, since it uses less digits than its factorization.

36766128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109441 (or 109435 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 36766128 is about 6063.5078955997. The cubic root of 36766128 is about 332.5186165543.

The spelling of 36766128 in words is "thirty-six million, seven hundred sixty-six thousand, one hundred twenty-eight".