817272 has 24 divisors (see below), whose sum is σ = 2213640. Its totient is φ = 272400.

The previous prime is 817237. The next prime is 817273. The reversal of 817272 is 272718.

817272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817273) by changing a digit.

817272 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 5 ways as a sum of consecutive naturals, for example, 5604 + ... + 5747.

It is an arithmetic number, because the mean of its divisors is an integer number (92235).

2⁸¹⁷²⁷² is an apocalyptic number.

It is an amenable number.

817272 is an abundant number, since it is smaller than the sum of its proper divisors (1396368).

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

817272 is a wasteful number, since it uses less digits than its factorization.

817272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11363 (or 11356 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 817272 is about 904.0309729207. The cubic root of 817272 is about 93.4951049321.

It can be divided in two parts, 817 and 272, that added together give a square (1089 = 33²).

The spelling of 817272 in words is "eight hundred seventeen thousand, two hundred seventy-two".