172868256 has 288 divisors, whose sum is σ = 581188608. Its totient is φ = 50077440.

The previous prime is 172868239. The next prime is 172868261. The reversal of 172868256 is 652868271.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (322560) is a multiple of the sum of its prime factors (126).

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 47 ways as a sum of consecutive naturals, for example, 3678025 + ... + 3678071.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 2^172868256 is an apocalyptic number.

172868256 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 172868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

172868256 is an abundant number, since it is smaller than the sum of its proper divisors (408320352).

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

172868256 is a wasteful number, since it uses less digits than its factorization.

172868256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 172868256 is about 13147.9373287219. The cubic root of 172868256 is about 557.0639874832.

The spelling of 172868256 in words is "one hundred seventy-two million, eight hundred sixty-eight thousand, two hundred fifty-six".