365792 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 147840.

The previous prime is 365791. The next prime is 365797. The reversal of 365792 is 297563.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

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 365792.

It is not an unprimeable number, because it can be changed into a prime (365791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5117 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2³⁶⁵⁷⁹² is an apocalyptic number.

365792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

365792 is an abundant number, since it is smaller than the sum of its proper divisors (505120).

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

365792 is a wasteful number, since it uses less digits than its factorization.

365792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 365792 is about 604.8074073620. The cubic root of 365792 is about 71.5173479023.

The spelling of 365792 in words is "three hundred sixty-five thousand, seven hundred ninety-two".