36787200 has 132 divisors (see below), whose sum is σ = 121837440. Its totient is φ = 9789440.

The previous prime is 36787199. The next prime is 36787243. The reversal of 36787200 is 278763.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76561 + ... + 77039.

Almost surely, 2^36787200 is an apocalyptic number.

36787200 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 36787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60918720).

36787200 is an abundant number, since it is smaller than the sum of its proper divisors (85050240).

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

36787200 is a wasteful number, since it uses less digits than its factorization.

36787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 36787200 is about 6065.2452547280. The cubic root of 36787200 is about 332.5821305772.

It can be divided in two parts, 3678 and 7200, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 36787200 in words is "thirty-six million, seven hundred eighty-seven thousand, two hundred".