272322 has 30 divisors (see below), whose sum is σ = 625449. Its totient is φ = 88560.

The previous prime is 272317. The next prime is 272329. The reversal of 272322 is 223272.

Multipling 272322 by its sum of digits (18), we get a square (4901796 = 2214^{2}).

272322 divided by its sum of digits (18) gives a square (15129 = 123^{2}).

Adding to 272322 its reverse (223272), we get a palindrome (495594).

It can be written as a sum of positive squares in 2 ways, for example, as 194481 + 77841 = 441^2 + 279^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=369.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **2**^{6} + **7**^{4} + **3**^{8} + **2**^{7} + **2**^{10} + **2**^{18} .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 272295 and 272304.

It is not an unprimeable number, because it can be changed into a prime (272329) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6622 + ... + 6662.

2^{272322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272322

272322 is an abundant number, since it is smaller than the sum of its proper divisors (353127).

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

272322 is an equidigital number, since it uses as much as digits as its factorization.

272322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 272322 is about 521.8448045157. The cubic root of 272322 is about 64.8177934675.

The spelling of 272322 in words is "two hundred seventy-two thousand, three hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 1681 2214 3321 3362 5043 6642 10086 15129 30258 45387 90774 136161 272322

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