198070272 has 156 divisors (see below), whose sum is σ = 596304800. Its totient is φ = 65691648.

The previous prime is 198070259. The next prime is 198070277. The reversal of 198070272 is 272070891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198070277) 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, 995229 + ... + 995427.

Almost surely, 2^198070272 is an apocalyptic number.

198070272 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 198070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298152400).

198070272 is an abundant number, since it is smaller than the sum of its proper divisors (398234528).

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

198070272 is an frugal number, since it uses more digits than its factorization.

198070272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 198070272 is about 14073.7440647469. The cubic root of 198070272 is about 582.9166128148.

The spelling of 198070272 in words is "one hundred ninety-eight million, seventy thousand, two hundred seventy-two".