845272 has 32 divisors (see below), whose sum is σ = 1713600. Its totient is φ = 389664.

The previous prime is 845261. The next prime is 845279. The reversal of 845272 is 272548.

It is a self number, because there is not a number n which added to its sum of digits gives 845272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845279) by changing a digit.

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, 10143 + ... + 10225.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

2⁸⁴⁵²⁷² is an apocalyptic number.

It is an amenable number.

845272 is an abundant number, since it is smaller than the sum of its proper divisors (868328).

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

845272 is a wasteful number, since it uses less digits than its factorization.

845272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 845272 is about 919.3867521343. The cubic root of 845272 is about 94.5508623857.

It can be divided in two parts, 84 and 5272, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 845272 in words is "eight hundred forty-five thousand, two hundred seventy-two".