36552 has 16 divisors (see below), whose sum is σ = 91440. Its totient is φ = 12176.

The previous prime is 36551. The next prime is 36559. The reversal of 36552 is 25563.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36552.

It is not an unprimeable number, because it can be changed into a prime (36551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 738 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (5715).

2³⁶⁵⁵² is an apocalyptic number.

It is an amenable number.

36552 is an abundant number, since it is smaller than the sum of its proper divisors (54888).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720).

36552 is a wasteful number, since it uses less digits than its factorization.

36552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1528 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 36552 is about 191.1857735293. The cubic root of 36552 is about 33.1871823555.

It can be divided in two parts, 3 and 6552, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 36552 in words is "thirty-six thousand, five hundred fifty-two".