36553572 has 96 divisors (see below), whose sum is σ = 107049600. Its totient is φ = 10684800.

The previous prime is 36553529. The next prime is 36553589. The reversal of 36553572 is 27535563.

36553572 is a `hidden beast` number, since 36 + 5 + 53 + 572 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33922 + ... + 34982.

It is an arithmetic number, because the mean of its divisors is an integer number (1115100).

Almost surely, 2^36553572 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 36553572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53524800).

36553572 is an abundant number, since it is smaller than the sum of its proper divisors (70496028).

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

36553572 is a wasteful number, since it uses less digits than its factorization.

36553572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1106 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 36553572 is about 6045.9550114105. The cubic root of 36553572 is about 331.8765811154.

Subtracting from 36553572 its reverse (27535563), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 3655 and 3572, that added together give a palindrome (7227).

The spelling of 36553572 in words is "thirty-six million, five hundred fifty-three thousand, five hundred seventy-two".