36201200 has 90 divisors (see below), whose sum is σ = 101227896. Its totient is φ = 12405120.

The previous prime is 36201199. The next prime is 36201229. The reversal of 36201200 is 210263.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18677 + ... + 20523.

Almost surely, 2^36201200 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 36201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50613948).

36201200 is an abundant number, since it is smaller than the sum of its proper divisors (65026696).

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

36201200 is a wasteful number, since it uses less digits than its factorization.

36201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 36201200 is about 6016.7433051444. The cubic root of 36201200 is about 330.8067192744.

Adding to 36201200 its reverse (210263), we get a palindrome (36411463).

The spelling of 36201200 in words is "thirty-six million, two hundred one thousand, two hundred".