472065 has 16 divisors (see below), whose sum is σ = 824256. Its totient is φ = 228800.

The previous prime is 472063. The next prime is 472067. The reversal of 472065 is 560274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (472063) and next prime (472067).

It is not a de Polignac number, because 472065 - 2¹ = 472063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (472063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (51516).

It is a Proth number, since it is equal to 461 ⋅ 2¹⁰ + 1 and 461 < 2¹⁰.

2⁴⁷²⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

472065 is a deficient number, since it is larger than the sum of its proper divisors (352191).

472065 is a wasteful number, since it uses less digits than its factorization.

472065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 472065 is about 687.0698654431. The cubic root of 472065 is about 77.8635022320.

Subtracting 472065 from its reverse (560274), we obtain a square (88209 = 297²).

It can be divided in two parts, 47 and 2065, that added together give a palindrome (2112).

The spelling of 472065 in words is "four hundred seventy-two thousand, sixty-five".