365552 has 40 divisors (see below), whose sum is σ = 809472. Its totient is φ = 158400.

The previous prime is 365537. The next prime is 365557. The reversal of 365552 is 255563.

It is a d-powerful number, because it can be written as 3⁶ + 6⁷ + 5⁵ + 5⁵ + 5⁷ + 2⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365557) by changing a digit.

365552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5423 + ... + 5489.

2³⁶⁵⁵⁵² 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 365552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404736).

365552 is an abundant number, since it is smaller than the sum of its proper divisors (443920).

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

365552 is a wasteful number, since it uses less digits than its factorization.

365552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 4500, while the sum is 26.

The square root of 365552 is about 604.6089645382. The cubic root of 365552 is about 71.5017033842.

The spelling of 365552 in words is "three hundred sixty-five thousand, five hundred fifty-two".