36288120 has 128 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 8547840.

The previous prime is 36288061. The next prime is 36288139. The reversal of 36288120 is 2188263.

36288120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48469 + ... + 49211.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 2^36288120 is an apocalyptic number.

36288120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

36288120 is an abundant number, since it is smaller than the sum of its proper divisors (85846920).

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

36288120 is a wasteful number, since it uses less digits than its factorization.

36288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36288120 is about 6023.9621512755. The cubic root of 36288120 is about 331.0712661024.

The spelling of 36288120 in words is "thirty-six million, two hundred eighty-eight thousand, one hundred twenty".