103272 has 32 divisors (see below), whose sum is σ = 278880. Its totient is φ = 31680.

The previous prime is 103237. The next prime is 103289. The reversal of 103272 is 272301.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

103272 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 7 ways as a sum of consecutive naturals, for example, 147 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (8715).

2¹⁰³²⁷² is an apocalyptic number.

103272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139440).

103272 is an abundant number, since it is smaller than the sum of its proper divisors (175608).

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

103272 is a wasteful number, since it uses less digits than its factorization.

103272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 103272 is about 321.3596116503. The cubic root of 103272 is about 46.9167077677.

Adding to 103272 its reverse (272301), we get a palindrome (375573).

The spelling of 103272 in words is "one hundred three thousand, two hundred seventy-two", and thus it is an iban number.