36322720 has 144 divisors (see below), whose sum is σ = 103162248. Its totient is φ = 12042240.

The previous prime is 36322697. The next prime is 36322723. The reversal of 36322720 is 2722363.

36322720 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 8317456 + 28005264 = 2884^2 + 5292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36322723) 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 23 ways as a sum of consecutive naturals, for example, 321384 + ... + 321496.

Almost surely, 2^36322720 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 36322720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51581124).

36322720 is an abundant number, since it is smaller than the sum of its proper divisors (66839528).

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

36322720 is a wasteful number, since it uses less digits than its factorization.

36322720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 36322720 is about 6026.8333310288. The cubic root of 36322720 is about 331.1764559644.

The spelling of 36322720 in words is "thirty-six million, three hundred twenty-two thousand, seven hundred twenty".