36863712 has 72 divisors (see below), whose sum is σ = 108239040. Its totient is φ = 11888640.

The previous prime is 36863707. The next prime is 36863713. The reversal of 36863712 is 21736863.

It is a happy number.

36863712 is a `hidden beast` number, since 3 + 6 + 8 + 637 + 12 = 666.

36863712 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 (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36863713) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6864 + ... + 10992.

It is an arithmetic number, because the mean of its divisors is an integer number (1503320).

Almost surely, 2^36863712 is an apocalyptic number.

36863712 is a gapful number since it is divisible by the number (32) 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 36863712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54119520).

36863712 is an abundant number, since it is smaller than the sum of its proper divisors (71375328).

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

36863712 is a wasteful number, since it uses less digits than its factorization.

36863712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4165 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36863712 is about 6071.5493903945. The cubic root of 36863712 is about 332.8125449845.

The spelling of 36863712 in words is "thirty-six million, eight hundred sixty-three thousand, seven hundred twelve".