172801728288 has 72 divisors (see below), whose sum is σ = 561605623488. Its totient is φ = 49371921792.

The previous prime is 172801728241. The next prime is 172801728347. The reversal of 172801728288 is 882827108271.

It is a happy number.

172801728288 is a `hidden beast` number, since 1 + 7 + 280 + 1 + 7 + 282 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×172801728288⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42855556 + ... + 42859587.

It is an arithmetic number, because the mean of its divisors is an integer number (7800078104).

Almost surely, 2^172801728288 is an apocalyptic number.

172801728288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172801728288 is an abundant number, since it is smaller than the sum of its proper divisors (388803895200).

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

172801728288 is a wasteful number, since it uses less digits than its factorization.

172801728288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85715166 (or 85715155 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 172801728288 in words is "one hundred seventy-two billion, eight hundred one million, seven hundred twenty-eight thousand, two hundred eighty-eight".