36872320 has 64 divisors (see below), whose sum is σ = 93360600. Its totient is φ = 13877248.

The previous prime is 36872309. The next prime is 36872321. The reversal of 36872320 is 2327863.

It can be written as a sum of positive squares in 4 ways, for example, as 36869184 + 3136 = 6072^2 + 56^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36872321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9186 + ... + 12574.

Almost surely, 2^36872320 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 36872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46680300).

36872320 is an abundant number, since it is smaller than the sum of its proper divisors (56488280).

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

36872320 is a wasteful number, since it uses less digits than its factorization.

36872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 36872320 is about 6072.2582290281. The cubic root of 36872320 is about 332.8384478509.

It can be divided in two parts, 36 and 872320, that added together give a square (872356 = 934²).

The spelling of 36872320 in words is "thirty-six million, eight hundred seventy-two thousand, three hundred twenty".