364272 has 20 divisors (see below), whose sum is σ = 941160. Its totient is φ = 121408.

The previous prime is 364271. The next prime is 364289. The reversal of 364272 is 272463.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3¹⁰ + 6⁷ + 2⁵ + 4⁴ + 7⁵ + 2¹³ .

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 364272.

It is not an unprimeable number, because it can be changed into a prime (364271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3747 + ... + 3842.

It is an arithmetic number, because the mean of its divisors is an integer number (47058).

2³⁶⁴²⁷² is an apocalyptic number.

It is an amenable number.

364272 is an abundant number, since it is smaller than the sum of its proper divisors (576888).

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

364272 is a wasteful number, since it uses less digits than its factorization.

364272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7594 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 364272 is about 603.5495008696. The cubic root of 364272 is about 71.4181500987.

Subtracting from 364272 its reverse (272463), we obtain a square (91809 = 303²).

It can be divided in two parts, 364 and 272, that added together give a palindrome (636).

The spelling of 364272 in words is "three hundred sixty-four thousand, two hundred seventy-two".