102272 has 32 divisors (see below), whose sum is σ = 220320. Its totient is φ = 47104.

The previous prime is 102259. The next prime is 102293. The reversal of 102272 is 272201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

102272 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 3 ways as a sum of consecutive naturals, for example, 2153 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2¹⁰²²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160).

102272 is an abundant number, since it is smaller than the sum of its proper divisors (118048).

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

102272 is an equidigital number, since it uses as much as digits as its factorization.

102272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 102272 is about 319.7999374609. The cubic root of 102272 is about 46.7647822319.

Adding to 102272 its reverse (272201), we get a palindrome (374473).

The spelling of 102272 in words is "one hundred two thousand, two hundred seventy-two", and thus it is an iban number.