36073200 has 120 divisors (see below), whose sum is σ = 120670848. Its totient is φ = 9194240.

The previous prime is 36073189. The next prime is 36073237. The reversal of 36073200 is 237063.

36073200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26947 + ... + 28253.

Almost surely, 2^36073200 is an apocalyptic number.

36073200 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 36073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60335424).

36073200 is an abundant number, since it is smaller than the sum of its proper divisors (84597648).

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

36073200 is a wasteful number, since it uses less digits than its factorization.

36073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 36073200 is about 6006.0969023152. The cubic root of 36073200 is about 330.4163706671.

The spelling of 36073200 in words is "thirty-six million, seventy-three thousand, two hundred".