36372200 has 48 divisors (see below), whose sum is σ = 88253280. Its totient is φ = 13914560.

The previous prime is 36372199. The next prime is 36372209. The reversal of 36372200 is 227363.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (36372209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 647 + ... + 8553.

It is an arithmetic number, because the mean of its divisors is an integer number (1838610).

Almost surely, 2^36372200 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 36372200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44126640).

36372200 is an abundant number, since it is smaller than the sum of its proper divisors (51881080).

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

36372200 is a wasteful number, since it uses less digits than its factorization.

36372200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 36372200 is about 6030.9369089719. The cubic root of 36372200 is about 331.3267675405.

Adding to 36372200 its reverse (227363), we get a palindrome (36599563).

The spelling of 36372200 in words is "thirty-six million, three hundred seventy-two thousand, two hundred".