36242752 has 112 divisors (see below), whose sum is σ = 91033600. Its totient is φ = 14224896.

The previous prime is 36242711. The next prime is 36242753. The reversal of 36242752 is 25724263.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36242753) 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 15 ways as a sum of consecutive naturals, for example, 285313 + ... + 285439.

It is an arithmetic number, because the mean of its divisors is an integer number (812800).

Almost surely, 2^36242752 is an apocalyptic number.

36242752 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 36242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45516800).

36242752 is an abundant number, since it is smaller than the sum of its proper divisors (54790848).

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

36242752 is a wasteful number, since it uses less digits than its factorization.

36242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its digits is 20160, while the sum is 31.

The square root of 36242752 is about 6020.1953456678. The cubic root of 36242752 is about 330.9332383311.

The spelling of 36242752 in words is "thirty-six million, two hundred forty-two thousand, seven hundred fifty-two".