472767 has 8 divisors (see below), whose sum is σ = 641280. Its totient is φ = 309720.

The previous prime is 472763. The next prime is 472793. The reversal of 472767 is 767274.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 472767 - 2² = 472763 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a nialpdrome in base 14.

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 472767.

It is not an unprimeable number, because it can be changed into a prime (472763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (80160).

2⁴⁷²⁷⁶⁷ is an apocalyptic number.

472767 is a deficient number, since it is larger than the sum of its proper divisors (168513).

472767 is a wasteful number, since it uses less digits than its factorization.

472767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733.

The product of its digits is 16464, while the sum is 33.

The square root of 472767 is about 687.5805407369. The cubic root of 472767 is about 77.9020796216.

It can be divided in two parts, 4 and 72767, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 472767 in words is "four hundred seventy-two thousand, seven hundred sixty-seven".