36003792 has 60 divisors (see below), whose sum is σ = 102250400. Its totient is φ = 10908480.

The previous prime is 36003787. The next prime is 36003817. The reversal of 36003792 is 29730063.

It is a happy number.

36003792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 2709 + ... + 8907.

Almost surely, 2^36003792 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 36003792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51125200).

36003792 is an abundant number, since it is smaller than the sum of its proper divisors (66246608).

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

36003792 is a wasteful number, since it uses less digits than its factorization.

36003792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 36003792 is about 6000.3159916791. The cubic root of 36003792 is about 330.2043179159.

The spelling of 36003792 in words is "thirty-six million, three thousand, seven hundred ninety-two".