365736 has 48 divisors (see below), whose sum is σ = 1067040. Its totient is φ = 104160.

The previous prime is 365699. The next prime is 365747. The reversal of 365736 is 637563.

It is a nialpdrome in base 14.

It is an unprimeable number.

365736 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 11 ways as a sum of consecutive naturals, for example, 1021 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2³⁶⁵⁷³⁶ 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 365736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533520).

365736 is an abundant number, since it is smaller than the sum of its proper divisors (701304).

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

365736 is a wasteful number, since it uses less digits than its factorization.

365736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its digits is 11340, while the sum is 30.

The square root of 365736 is about 604.7611098607. The cubic root of 365736 is about 71.5136981270.

The spelling of 365736 in words is "three hundred sixty-five thousand, seven hundred thirty-six".