171972096 has 80 divisors (see below), whose sum is σ = 463017984. Its totient is φ = 56715264.

The previous prime is 171972083. The next prime is 171972113. The reversal of 171972096 is 690279171.

It is a happy number.

It is a congruent number.

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, 157665 + ... + 158751.

Almost surely, 2^171972096 is an apocalyptic number.

171972096 is a gapful number since it is divisible by the number (16) 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 171972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231508992).

171972096 is an abundant number, since it is smaller than the sum of its proper divisors (291045888).

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

171972096 is a wasteful number, since it uses less digits than its factorization.

171972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The square root of 171972096 is about 13113.8131754269. The cubic root of 171972096 is about 556.0997009069.

The spelling of 171972096 in words is "one hundred seventy-one million, nine hundred seventy-two thousand, ninety-six".