36872064 has 128 divisors (see below), whose sum is σ = 111628800. Its totient is φ = 11976192.

The previous prime is 36872063. The next prime is 36872083. The reversal of 36872064 is 46027863.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36872063) 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 15 ways as a sum of consecutive naturals, for example, 162319 + ... + 162545.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^36872064 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 36872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814400).

36872064 is an abundant number, since it is smaller than the sum of its proper divisors (74756736).

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

36872064 is a wasteful number, since it uses less digits than its factorization.

36872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36872064 is about 6072.2371495191. The cubic root of 36872064 is about 332.8376775636.

The spelling of 36872064 in words is "thirty-six million, eight hundred seventy-two thousand, sixty-four".