36005200 has 180 divisors, whose sum is σ = 110430432. Its totient is φ = 11155200.

The previous prime is 36005131. The next prime is 36005227. The reversal of 36005200 is 250063.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215517 + ... + 215683.

Almost surely, 2^36005200 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 36005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55215216).

36005200 is an abundant number, since it is smaller than the sum of its proper divisors (74425232).

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

36005200 is a wasteful number, since it uses less digits than its factorization.

36005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 36005200 is about 6000.4333176863. The cubic root of 36005200 is about 330.2086222923.

Adding to 36005200 its reverse (250063), we get a palindrome (36255263).

The spelling of 36005200 in words is "thirty-six million, five thousand, two hundred".