197139072 has 256 divisors, whose sum is σ = 629233920. Its totient is φ = 54067200.

The previous prime is 197139067. The next prime is 197139073. The reversal of 197139072 is 270931791.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 197139072.

It is not an unprimeable number, because it can be changed into a prime (197139073) 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, 1951822 + ... + 1951922.

It is an arithmetic number, because the mean of its divisors is an integer number (2457945).

Almost surely, 2^197139072 is an apocalyptic number.

197139072 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 197139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314616960).

197139072 is an abundant number, since it is smaller than the sum of its proper divisors (432094848).

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

197139072 is a wasteful number, since it uses less digits than its factorization.

197139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 197139072 is about 14040.6222084351. The cubic root of 197139072 is about 582.0016768766.

The spelling of 197139072 in words is "one hundred ninety-seven million, one hundred thirty-nine thousand, seventy-two".