36784872 has 96 divisors (see below), whose sum is σ = 108206280. Its totient is φ = 11243520.

The previous prime is 36784861. The next prime is 36784873. The reversal of 36784872 is 27848763.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35212356 + 1572516 = 5934^2 + 1254^2 .

It is not an unprimeable number, because it can be changed into a prime (36784873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49818 + ... + 50550.

Almost surely, 2^36784872 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 36784872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54103140).

36784872 is an abundant number, since it is smaller than the sum of its proper divisors (71421408).

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

36784872 is a wasteful number, since it uses less digits than its factorization.

36784872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 36784872 is about 6065.0533385948. The cubic root of 36784872 is about 332.5751148441.

The spelling of 36784872 in words is "thirty-six million, seven hundred eighty-four thousand, eight hundred seventy-two".