36128672 has 24 divisors (see below), whose sum is σ = 75313476. Its totient is φ = 17001472.

The previous prime is 36128641. The next prime is 36128707. The reversal of 36128672 is 27682163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36048016 + 80656 = 6004^2 + 284^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32663 + ... + 33750.

Almost surely, 2^36128672 is an apocalyptic number.

36128672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36128672 is an abundant number, since it is smaller than the sum of its proper divisors (39184804).

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

36128672 is a wasteful number, since it uses less digits than its factorization.

36128672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66440 (or 66432 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 36128672 is about 6010.7131024530. The cubic root of 36128672 is about 330.5856511836.

The spelling of 36128672 in words is "thirty-six million, one hundred twenty-eight thousand, six hundred seventy-two".