36586572 has 48 divisors (see below), whose sum is σ = 96144384. Its totient is φ = 10728000.

The previous prime is 36586553. The next prime is 36586573. The reversal of 36586572 is 27568563.

It is a super-2 number, since 2×36586572² = 2677154501422368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36586573) 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, 379 + ... + 8562.

It is an arithmetic number, because the mean of its divisors is an integer number (2003008).

Almost surely, 2^36586572 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 36586572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48072192).

36586572 is an abundant number, since it is smaller than the sum of its proper divisors (59557812).

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

36586572 is a wasteful number, since it uses less digits than its factorization.

36586572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8988 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 36586572 is about 6048.6834931248. The cubic root of 36586572 is about 331.9764220929.

Subtracting from 36586572 its reverse (27568563), we obtain a square (9018009 = 3003²).

The spelling of 36586572 in words is "thirty-six million, five hundred eighty-six thousand, five hundred seventy-two".