36287200 has 72 divisors (see below), whose sum is σ = 90041112. Its totient is φ = 14277120.

The previous prime is 36287191. The next prime is 36287213. The reversal of 36287200 is 278263.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 53262 + ... + 53938.

It is an arithmetic number, because the mean of its divisors is an integer number (1250571).

Almost surely, 2^36287200 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 36287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45020556).

36287200 is an abundant number, since it is smaller than the sum of its proper divisors (53753912).

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

36287200 is a wasteful number, since it uses less digits than its factorization.

36287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 36287200 is about 6023.8857890900. The cubic root of 36287200 is about 331.0684682341.

The spelling of 36287200 in words is "thirty-six million, two hundred eighty-seven thousand, two hundred".