198837072 has 160 divisors (see below), whose sum is σ = 666624000. Its totient is φ = 55562112.

The previous prime is 198837059. The next prime is 198837091. The reversal of 198837072 is 270738891.

198837072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 141429 + ... + 142827.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2^198837072 is an apocalyptic number.

198837072 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 198837072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312000).

198837072 is an abundant number, since it is smaller than the sum of its proper divisors (467786928).

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

198837072 is a wasteful number, since it uses less digits than its factorization.

198837072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 198837072 is about 14100.9599673214. The cubic root of 198837072 is about 583.6678695702.

It can be divided in two parts, 1988 and 37072, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 198837072 in words is "one hundred ninety-eight million, eight hundred thirty-seven thousand, seventy-two".