365772 has 48 divisors (see below), whose sum is σ = 991872. Its totient is φ = 103680.

The previous prime is 365759. The next prime is 365773. The reversal of 365772 is 277563.

Its product of digits (8820) is a multiple of the sum of its prime divisors (196).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (365773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2163 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (20664).

2³⁶⁵⁷⁷² 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 365772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495936).

365772 is an abundant number, since it is smaller than the sum of its proper divisors (626100).

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

365772 is a wasteful number, since it uses less digits than its factorization.

365772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 365772 is about 604.7908729470. The cubic root of 365772 is about 71.5160444539.

Subtracting from 365772 its reverse (277563), we obtain a square (88209 = 297²).

The spelling of 365772 in words is "three hundred sixty-five thousand, seven hundred seventy-two".