365720 has 32 divisors (see below), whose sum is σ = 846720. Its totient is φ = 142080.

The previous prime is 365699. The next prime is 365747. The reversal of 365720 is 27563.

It is a super-2 number, since 2×365720² = 267502236800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365720.

It is an unprimeable number.

365720 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, 1529 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2³⁶⁵⁷²⁰ 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 365720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

365720 is an abundant number, since it is smaller than the sum of its proper divisors (481000).

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

365720 is a wasteful number, since it uses less digits than its factorization.

365720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 365720 is about 604.7478813522. The cubic root of 365720 is about 71.5126552656.

The spelling of 365720 in words is "three hundred sixty-five thousand, seven hundred twenty".