36307152 has 120 divisors (see below), whose sum is σ = 117353600. Its totient is φ = 10264320.

The previous prime is 36307151. The next prime is 36307163. The reversal of 36307152 is 25170363.

It is a happy number.

It is a super-2 number, since 2×36307152² = 2636418572702208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36307151) 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 23 ways as a sum of consecutive naturals, for example, 182349 + ... + 182547.

Almost surely, 2^36307152 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 36307152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58676800).

36307152 is an abundant number, since it is smaller than the sum of its proper divisors (81046448).

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

36307152 is a wasteful number, since it uses less digits than its factorization.

36307152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 36307152 is about 6025.5416354051. The cubic root of 36307152 is about 331.1291348770.

The spelling of 36307152 in words is "thirty-six million, three hundred seven thousand, one hundred fifty-two".