36315072 has 84 divisors (see below), whose sum is σ = 105756456. Its totient is φ = 11911680.

The previous prime is 36315011. The next prime is 36315079. The reversal of 36315072 is 27051363.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36315079) 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 11 ways as a sum of consecutive naturals, for example, 38122 + ... + 39062.

Almost surely, 2^36315072 is an apocalyptic number.

36315072 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 36315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52878228).

36315072 is an abundant number, since it is smaller than the sum of its proper divisors (69441384).

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

36315072 is a wasteful number, since it uses less digits than its factorization.

36315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

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

The square root of 36315072 is about 6026.1988018983. The cubic root of 36315072 is about 331.1532105015.

The spelling of 36315072 in words is "thirty-six million, three hundred fifteen thousand, seventy-two".