806572 has 12 divisors (see below), whose sum is σ = 1520176. Its totient is φ = 372240.

The previous prime is 806549. The next prime is 806579. The reversal of 806572 is 275608.

806572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 806572.

It is not an unprimeable number, because it can be changed into a prime (806579) by changing a digit.

806572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7704 + ... + 7807.

2⁸⁰⁶⁵⁷² is an apocalyptic number.

It is an amenable number.

806572 is a deficient number, since it is larger than the sum of its proper divisors (713604).

806572 is a wasteful number, since it uses less digits than its factorization.

806572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15528 (or 15526 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 806572 is about 898.0935363313. The cubic root of 806572 is about 93.0852880841.

It can be divided in two parts, 806 and 572, that added together give a triangular number (1378 = T₅₂).

The spelling of 806572 in words is "eight hundred six thousand, five hundred seventy-two".