107272 has 32 divisors (see below), whose sum is σ = 233280. Its totient is φ = 45760.

The previous prime is 107269. The next prime is 107273. The reversal of 107272 is 272701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1998 + ... + 2050.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2¹⁰⁷²⁷² 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 107272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640).

107272 is an abundant number, since it is smaller than the sum of its proper divisors (126008).

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

107272 is a wasteful number, since it uses less digits than its factorization.

107272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 107272 is about 327.5240449188. The cubic root of 107272 is about 47.5147876396.

Adding to 107272 its reverse (272701), we get a palindrome (379973).

The spelling of 107272 in words is "one hundred seven thousand, two hundred seventy-two", and thus it is an iban number.