36587152 has 80 divisors (see below), whose sum is σ = 84851712. Its totient is φ = 14958720.

The previous prime is 36587137. The next prime is 36587153. The reversal of 36587152 is 25178563.

It is a super-2 number, since 2×36587152² = 2677239382942208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36587153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341883 + ... + 341989.

Almost surely, 2^36587152 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 36587152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42425856).

36587152 is an abundant number, since it is smaller than the sum of its proper divisors (48264560).

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

36587152 is a wasteful number, since it uses less digits than its factorization.

36587152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 36587152 is about 6048.7314372519. The cubic root of 36587152 is about 331.9781763368.

The spelling of 36587152 in words is "thirty-six million, five hundred eighty-seven thousand, one hundred fifty-two".