172086768 has 120 divisors (see below), whose sum is σ = 570880128. Its totient is φ = 49159872.

The previous prime is 172086763. The next prime is 172086791. The reversal of 172086768 is 867680271.

It is a super-2 number, since 2×172086768² = 59227711441371648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172086763) 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 23 ways as a sum of consecutive naturals, for example, 24055 + ... + 30377.

Almost surely, 2^172086768 is an apocalyptic number.

172086768 is a gapful number since it is divisible by the number (18) 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 172086768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285440064).

172086768 is an abundant number, since it is smaller than the sum of its proper divisors (398793360).

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

172086768 is an equidigital number, since it uses as much as digits as its factorization.

172086768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 172086768 is about 13118.1846305043. The cubic root of 172086768 is about 556.2232769555.

It can be divided in two parts, 1720 and 86768, that added together give a palindrome (88488).

The spelling of 172086768 in words is "one hundred seventy-two million, eighty-six thousand, seven hundred sixty-eight".