472125 has 16 divisors (see below), whose sum is σ = 786240. Its totient is φ = 251600.

The previous prime is 472123. The next prime is 472127. The reversal of 472125 is 521274.

It is an interprime number because it is at equal distance from previous prime (472123) and next prime (472127).

It is not a de Polignac number, because 472125 - 2¹ = 472123 is a prime.

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

472125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472123) 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, 255 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁴⁷²¹²⁵ is an apocalyptic number.

It is an amenable number.

472125 is a deficient number, since it is larger than the sum of its proper divisors (314115).

472125 is a wasteful number, since it uses less digits than its factorization.

472125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 472125 is about 687.1135277376. The cubic root of 472125 is about 77.8668009389.

Adding to 472125 its reverse (521274), we get a palindrome (993399).

The spelling of 472125 in words is "four hundred seventy-two thousand, one hundred twenty-five".