200098272 has 96 divisors (see below), whose sum is σ = 603227520. Its totient is φ = 57438720.

The previous prime is 200098243. The next prime is 200098277. The reversal of 200098272 is 272890002.

200098272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200098277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15078 + ... + 25050.

It is an arithmetic number, because the mean of its divisors is an integer number (6283620).

Almost surely, 2^200098272 is an apocalyptic number.

200098272 is a gapful number since it is divisible by the number (22) 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 200098272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301613760).

200098272 is an abundant number, since it is smaller than the sum of its proper divisors (403129248).

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

200098272 is a wasteful number, since it uses less digits than its factorization.

200098272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 200098272 is about 14145.6096369156. The cubic root of 200098272 is about 584.8993149826.

The spelling of 200098272 in words is "two hundred million, ninety-eight thousand, two hundred seventy-two".