360198272 has 64 divisors (see below), whose sum is σ = 839256000. Its totient is φ = 150764544.

The previous prime is 360198253. The next prime is 360198287. The reversal of 360198272 is 272891063.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33854 + ... + 43202.

It is an arithmetic number, because the mean of its divisors is an integer number (13113375).

Almost surely, 2^360198272 is an apocalyptic number.

360198272 is a gapful number since it is divisible by the number (32) 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 360198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419628000).

360198272 is an abundant number, since it is smaller than the sum of its proper divisors (479057728).

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

360198272 is an equidigital number, since it uses as much as digits as its factorization.

360198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 360198272 is about 18978.8901677627. The cubic root of 360198272 is about 711.5092355126.

The spelling of 360198272 in words is "three hundred sixty million, one hundred ninety-eight thousand, two hundred seventy-two".