36238272 has 112 divisors (see below), whose sum is σ = 111678720. Its totient is φ = 10156032.

The previous prime is 36238253. The next prime is 36238277. The reversal of 36238272 is 27283263.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36238277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79068 + ... + 79524.

Almost surely, 2^36238272 is an apocalyptic number.

36238272 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 36238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55839360).

36238272 is an abundant number, since it is smaller than the sum of its proper divisors (75440448).

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

36238272 is a wasteful number, since it uses less digits than its factorization.

36238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 36238272 is about 6019.8232532193. The cubic root of 36238272 is about 330.9196021149.

The spelling of 36238272 in words is "thirty-six million, two hundred thirty-eight thousand, two hundred seventy-two".