36115200 has 432 divisors, whose sum is σ = 152073600. Its totient is φ = 8294400.

The previous prime is 36115193. The next prime is 36115229. The reversal of 36115200 is 251163.

36115200 is a `hidden beast` number, since 3 + 611 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900791 + ... + 1900809.

Almost surely, 2^36115200 is an apocalyptic number.

36115200 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 36115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76036800).

36115200 is an abundant number, since it is smaller than the sum of its proper divisors (115958400).

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

36115200 is a wasteful number, since it uses less digits than its factorization.

36115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 36115200 is about 6009.5923322635. The cubic root of 36115200 is about 330.5445554432.

Adding to 36115200 its reverse (251163), we get a palindrome (36366363).

It can be divided in two parts, 36115 and 200, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 36115200 in words is "thirty-six million, one hundred fifteen thousand, two hundred".