36072288 has 144 divisors (see below), whose sum is σ = 121474080. Its totient is φ = 9934848.

The previous prime is 36072287. The next prime is 36072319. The reversal of 36072288 is 88227063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (36072287) 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, 58156 + ... + 58772.

It is an arithmetic number, because the mean of its divisors is an integer number (843570).

Almost surely, 2^36072288 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 36072288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60737040).

36072288 is an abundant number, since it is smaller than the sum of its proper divisors (85401792).

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

36072288 is a wasteful number, since it uses less digits than its factorization.

36072288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36072288 is about 6006.0209789843. The cubic root of 36072288 is about 330.4135861228.

The spelling of 36072288 in words is "thirty-six million, seventy-two thousand, two hundred eighty-eight".