197472 has 72 divisors (see below), whose sum is σ = 603288. Its totient is φ = 56320.

The previous prime is 197453. The next prime is 197479. The reversal of 197472 is 274791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197479) by changing a digit.

197472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11608 + ... + 11624.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2¹⁹⁷⁴⁷² is an apocalyptic number.

197472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

197472 is the 363-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644).

197472 is an abundant number, since it is smaller than the sum of its proper divisors (405816).

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

197472 is a wasteful number, since it uses less digits than its factorization.

197472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 197472 is about 444.3782172879. The cubic root of 197472 is about 58.2329120304.

The spelling of 197472 in words is "one hundred ninety-seven thousand, four hundred seventy-two".