36225792 has 90 divisors (see below), whose sum is σ = 108080588. Its totient is φ = 12068352.

The previous prime is 36225781. The next prime is 36225797. The reversal of 36225792 is 29752263.

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

It is not an unprimeable number, because it can be changed into a prime (36225797) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 19863 + ... + 21609.

Almost surely, 2^36225792 is an apocalyptic number.

36225792 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 36225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54040294).

36225792 is an abundant number, since it is smaller than the sum of its proper divisors (71854796).

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

36225792 is an equidigital number, since it uses as much as digits as its factorization.

36225792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1752 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 36225792 is about 6018.7865886738. The cubic root of 36225792 is about 330.8816095858.

The spelling of 36225792 in words is "thirty-six million, two hundred twenty-five thousand, seven hundred ninety-two".