171272416 has 96 divisors (see below), whose sum is σ = 418364352. Its totient is φ = 67338240.

The previous prime is 171272407. The next prime is 171272429. The reversal of 171272416 is 614272171.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155580 + ... + 156676.

It is an arithmetic number, because the mean of its divisors is an integer number (4357962).

Almost surely, 2^171272416 is an apocalyptic number.

171272416 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 171272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209182176).

171272416 is an abundant number, since it is smaller than the sum of its proper divisors (247091936).

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

171272416 is a wasteful number, since it uses less digits than its factorization.

171272416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 171272416 is about 13087.1087716119. The cubic root of 171272416 is about 555.3444994801.

The spelling of 171272416 in words is "one hundred seventy-one million, two hundred seventy-two thousand, four hundred sixteen".