36387792 has 180 divisors, whose sum is σ = 123492096. Its totient is φ = 10342080.

The previous prime is 36387773. The next prime is 36387809. The reversal of 36387792 is 29778363.

It is a happy number.

36387792 is a `hidden beast` number, since 3 + 638 + 7 + 7 + 9 + 2 = 666.

36387792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 190417 + ... + 190607.

Almost surely, 2^36387792 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 36387792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

36387792 is an abundant number, since it is smaller than the sum of its proper divisors (87104304).

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

36387792 is a wasteful number, since it uses less digits than its factorization.

36387792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 36387792 is about 6032.2294386073. The cubic root of 36387792 is about 331.3741050579.

The spelling of 36387792 in words is "thirty-six million, three hundred eighty-seven thousand, seven hundred ninety-two".