197955072 has 360 divisors, whose sum is σ = 729636336. Its totient is φ = 50429952.

The previous prime is 197955071. The next prime is 197955097. The reversal of 197955072 is 270559791.

197955072 is a `hidden beast` number, since 1 + 97 + 9 + 550 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197955071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10418679 + ... + 10418697.

Almost surely, 2^197955072 is an apocalyptic number.

197955072 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 197955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364818168).

197955072 is an abundant number, since it is smaller than the sum of its proper divisors (531681264).

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

197955072 is a wasteful number, since it uses less digits than its factorization.

197955072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 197955072 is about 14069.6507419339. The cubic root of 197955072 is about 582.8035805121.

The spelling of 197955072 in words is "one hundred ninety-seven million, nine hundred fifty-five thousand, seventy-two".