171029472 has 96 divisors (see below), whose sum is σ = 484807680. Its totient is φ = 52631040.

The previous prime is 171029407. The next prime is 171029473. The reversal of 171029472 is 274920171.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171029473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62697 + ... + 65367.

It is an arithmetic number, because the mean of its divisors is an integer number (5050080).

Almost surely, 2^171029472 is an apocalyptic number.

171029472 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 171029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242403840).

171029472 is an abundant number, since it is smaller than the sum of its proper divisors (313778208).

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

171029472 is a wasteful number, since it uses less digits than its factorization.

171029472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 171029472 is about 13077.8236721559. The cubic root of 171029472 is about 555.0817962390.

The spelling of 171029472 in words is "one hundred seventy-one million, twenty-nine thousand, four hundred seventy-two".