36073584 has 60 divisors (see below), whose sum is σ = 104225472. Its totient is φ = 11635200.

The previous prime is 36073579. The next prime is 36073589. The reversal of 36073584 is 48537063.

It is a happy number.

36073584 is a `hidden beast` number, since 3 + 6 + 0 + 73 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (36073579) and next prime (36073589).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36073589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424 + ... + 8504.

Almost surely, 2^36073584 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 36073584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52112736).

36073584 is an abundant number, since it is smaller than the sum of its proper divisors (68151888).

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

36073584 is a wasteful number, since it uses less digits than its factorization.

36073584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 36073584 is about 6006.1288697463. The cubic root of 36073584 is about 330.4175430927.

The spelling of 36073584 in words is "thirty-six million, seventy-three thousand, five hundred eighty-four".