98272 has 24 divisors (see below), whose sum is σ = 201096. Its totient is φ = 47232.

The previous prime is 98269. The next prime is 98297. The reversal of 98272 is 27289.

It is a self number, because there is not a number n which added to its sum of digits gives 98272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1143 + ... + 1225.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁹⁸²⁷² 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 98272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

98272 is an abundant number, since it is smaller than the sum of its proper divisors (102824).

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

98272 is a wasteful number, since it uses less digits than its factorization.

98272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 98272 is about 313.4836518863. The cubic root of 98272 is about 46.1469778953.

It can be divided in two parts, 9 and 8272, that added together give a square (8281 = 91²).

The spelling of 98272 in words is "ninety-eight thousand, two hundred seventy-two".