36322272 has 144 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 10112256.

The previous prime is 36322261. The next prime is 36322277. The reversal of 36322272 is 27222363.

36322272 is a `hidden beast` number, since 3 + 632 + 2 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (36322277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86479 + ... + 86897.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^36322272 is an apocalyptic number.

36322272 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 36322272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

36322272 is an abundant number, since it is smaller than the sum of its proper divisors (84758688).

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

36322272 is a wasteful number, since it uses less digits than its factorization.

36322272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 36322272 is about 6026.7961638005. The cubic root of 36322272 is about 331.1750943955.

Subtracting from 36322272 its reverse (27222363), we obtain a palindrome (9099909).

The spelling of 36322272 in words is "thirty-six million, three hundred twenty-two thousand, two hundred seventy-two".