172255968 has 144 divisors (see below), whose sum is σ = 524343456. Its totient is φ = 53452800.

The previous prime is 172255949. The next prime is 172255981. The reversal of 172255968 is 869552271.

172255968 is a `hidden beast` number, since 17 + 22 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×172255968³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 739180 + ... + 739412.

It is an arithmetic number, because the mean of its divisors is an integer number (3641274).

Almost surely, 2^172255968 is an apocalyptic number.

172255968 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 172255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262171728).

172255968 is an abundant number, since it is smaller than the sum of its proper divisors (352087488).

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

172255968 is a wasteful number, since it uses less digits than its factorization.

172255968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 172255968 is about 13124.6321091298. The cubic root of 172255968 is about 556.4055147720.

The spelling of 172255968 in words is "one hundred seventy-two million, two hundred fifty-five thousand, nine hundred sixty-eight".