472365 has 16 divisors (see below), whose sum is σ = 840000. Its totient is φ = 251856.

The previous prime is 472349. The next prime is 472369. The reversal of 472365 is 563274.

It is a happy number.

It is not a de Polignac number, because 472365 - 2⁴ = 472349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

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 472365.

It is not an unprimeable number, because it can be changed into a prime (472369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615 + ... + 1884.

It is an arithmetic number, because the mean of its divisors is an integer number (52500).

472365 is a Friedman number, since it can be written as (6*3)^5/4-27, using all its digits and the basic arithmetic operations.

2⁴⁷²³⁶⁵ is an apocalyptic number.

472365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472365 is a deficient number, since it is larger than the sum of its proper divisors (367635).

472365 is a wasteful number, since it uses less digits than its factorization.

472365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3507 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 472365 is about 687.2881491776. The cubic root of 472365 is about 77.8799929725.

Subtracting 472365 from its reverse (563274), we obtain a palindrome (90909).

The spelling of 472365 in words is "four hundred seventy-two thousand, three hundred sixty-five".