72198 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 20520.

The previous prime is 72173. The next prime is 72211. The reversal of 72198 is 89127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

72198 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 15 ways as a sum of consecutive naturals, for example, 283 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁷²¹⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160).

72198 is an abundant number, since it is smaller than the sum of its proper divisors (112122).

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

72198 is a wasteful number, since it uses less digits than its factorization.

72198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 72198 is about 268.6968552105. The cubic root of 72198 is about 41.6397764275.

It can be divided in two parts, 7219 and 8, that added together give a palindrome (7227).

The spelling of 72198 in words is "seventy-two thousand, one hundred ninety-eight".