472128 has 28 divisors (see below), whose sum is σ = 1249680. Its totient is φ = 157312.

The previous prime is 472127. The next prime is 472133. The reversal of 472128 is 821274.

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

It is a junction number, because it is equal to n+sod(n) for n = 472098 and 472107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472128.

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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1038 + ... + 1421.

2⁴⁷²¹²⁸ is an apocalyptic number.

472128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

472128 is an abundant number, since it is smaller than the sum of its proper divisors (777552).

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

472128 is a wasteful number, since it uses less digits than its factorization.

472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2464 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 472128 is about 687.1157107795. The cubic root of 472128 is about 77.8669658670.

The spelling of 472128 in words is "four hundred seventy-two thousand, one hundred twenty-eight".