472006 has 16 divisors (see below), whose sum is σ = 764928. Its totient is φ = 217800.

The previous prime is 471997. The next prime is 472019. The reversal of 472006 is 600274.

472006 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

472006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (47808).

2⁴⁷²⁰⁰⁶ is an apocalyptic number.

472006 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

472006 is a deficient number, since it is larger than the sum of its proper divisors (292922).

472006 is a wasteful number, since it uses less digits than its factorization.

472006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 472006 is about 687.0269281477. The cubic root of 472006 is about 77.8602582310.

It can be divided in two parts, 4 and 72006, that added together give a triangular number (72010 = T₃₇₉).

The spelling of 472006 in words is "four hundred seventy-two thousand, six".