36265216 has 72 divisors (see below), whose sum is σ = 82671624. Its totient is φ = 15728640.

The previous prime is 36265213. The next prime is 36265249. The reversal of 36265216 is 61256263.

It can be written as a sum of positive squares in 4 ways, for example, as 10863616 + 25401600 = 3296^2 + 5040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36265213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56256 + ... + 56896.

It is an arithmetic number, because the mean of its divisors is an integer number (1148217).

Almost surely, 2^36265216 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 36265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41335812).

36265216 is an abundant number, since it is smaller than the sum of its proper divisors (46406408).

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

36265216 is a wasteful number, since it uses less digits than its factorization.

36265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 36265216 is about 6022.0607768438. The cubic root of 36265216 is about 331.0015972760.

It can be divided in two parts, 36265 and 216, that added together give a square (36481 = 191²).

The spelling of 36265216 in words is "thirty-six million, two hundred sixty-five thousand, two hundred sixteen".