172161792 has 108 divisors (see below), whose sum is σ = 541590504. Its totient is φ = 52162560.

The previous prime is 172161767. The next prime is 172161797. The reversal of 172161792 is 297161271.

It is a happy number.

172161792 is a `hidden beast` number, since 17 + 21 + 617 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (172161797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21948 + ... + 28740.

Almost surely, 2^172161792 is an apocalyptic number.

172161792 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 172161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270795252).

172161792 is an abundant number, since it is smaller than the sum of its proper divisors (369428712).

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

172161792 is a wasteful number, since it uses less digits than its factorization.

172161792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6809 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 172161792 is about 13121.0438609129. The cubic root of 172161792 is about 556.3040967124.

The spelling of 172161792 in words is "one hundred seventy-two million, one hundred sixty-one thousand, seven hundred ninety-two".