197287272 has 128 divisors (see below), whose sum is σ = 674553600. Its totient is φ = 52026624.

The previous prime is 197287271. The next prime is 197287283. The reversal of 197287272 is 272782791.

197287272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (197287271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14638 + ... + 24674.

It is an arithmetic number, because the mean of its divisors is an integer number (5269950).

Almost surely, 2^197287272 is an apocalyptic number.

197287272 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 197287272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337276800).

197287272 is an abundant number, since it is smaller than the sum of its proper divisors (477266328).

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

197287272 is a wasteful number, since it uses less digits than its factorization.

197287272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 10062 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 197287272 is about 14045.8987608483. The cubic root of 197287272 is about 582.1474809581.

It can be divided in two parts, 19728 and 7272, that added together give a cube (27000 = 30³).

The spelling of 197287272 in words is "one hundred ninety-seven million, two hundred eighty-seven thousand, two hundred seventy-two".