198243072 has 288 divisors, whose sum is σ = 647539200. Its totient is φ = 59609088.

The previous prime is 198243053. The next prime is 198243119. The reversal of 198243072 is 270342891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4610283 + ... + 4610325.

It is an arithmetic number, because the mean of its divisors is an integer number (2248400).

Almost surely, 2^198243072 is an apocalyptic number.

198243072 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 198243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323769600).

198243072 is an abundant number, since it is smaller than the sum of its proper divisors (449296128).

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

198243072 is a wasteful number, since it uses less digits than its factorization.

198243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 198243072 is about 14079.8818176858. The cubic root of 198243072 is about 583.0860791219.

It can be divided in two parts, 1982 and 43072, that added together give a palindrome (45054).

The spelling of 198243072 in words is "one hundred ninety-eight million, two hundred forty-three thousand, seventy-two".