73098 has 24 divisors (see below), whose sum is σ = 164736. Its totient is φ = 23400.

The previous prime is 73091. The next prime is 73121. The reversal of 73098 is 89037.

It is a happy number.

73098 is nontrivially palindromic in base 8.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73098.

It is not an unprimeable number, because it can be changed into a prime (73091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (6864).

2⁷³⁰⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82368).

73098 is an abundant number, since it is smaller than the sum of its proper divisors (91638).

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

73098 is a wasteful number, since it uses less digits than its factorization.

73098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73098 is about 270.3664180330. The cubic root of 73098 is about 41.8120856669.

It can be divided in two parts, 730 and 98, that added together give a palindrome (828).

The spelling of 73098 in words is "seventy-three thousand, ninety-eight".