472072 has 8 divisors (see below), whose sum is σ = 885150. Its totient is φ = 236032.

The previous prime is 472067. The next prime is 472103. The reversal of 472072 is 270274.

It can be written as a sum of positive squares in only one way, i.e., 417316 + 54756 = 646^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472072.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 29497 + ... + 29512.

2⁴⁷²⁰⁷² is an apocalyptic number.

It is an amenable number.

472072 is a deficient number, since it is larger than the sum of its proper divisors (413078).

472072 is a wasteful number, since it uses less digits than its factorization.

472072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59015 (or 59011 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 472072 is about 687.0749595204. The cubic root of 472072 is about 77.8638870956.

The spelling of 472072 in words is "four hundred seventy-two thousand, seventy-two", and thus it is an iban number.