36027200 has 168 divisors, whose sum is σ = 102047040. Its totient is φ = 12390400.

The previous prime is 36027169. The next prime is 36027203. The reversal of 36027200 is 272063.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36027203) 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, 404756 + ... + 404844.

Almost surely, 2^36027200 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 36027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51023520).

36027200 is an abundant number, since it is smaller than the sum of its proper divisors (66019840).

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

36027200 is a wasteful number, since it uses less digits than its factorization.

36027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 36027200 is about 6002.2662386802. The cubic root of 36027200 is about 330.2758636036.

Adding to 36027200 its reverse (272063), we get a palindrome (36299263).

The spelling of 36027200 in words is "thirty-six million, twenty-seven thousand, two hundred".