172888716 has 192 divisors, whose sum is σ = 557706240. Its totient is φ = 40227840.

The previous prime is 172888711. The next prime is 172888717. The reversal of 172888716 is 617888271.

172888716 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

172888716 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (172888711) 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 63 ways as a sum of consecutive naturals, for example, 444250 + ... + 444638.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^172888716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172888716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278853120).

172888716 is an abundant number, since it is smaller than the sum of its proper divisors (384817524).

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

172888716 is a wasteful number, since it uses less digits than its factorization.

172888716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 462 counting only the distinct ones).

The product of its digits is 301056, while the sum is 48.

The square root of 172888716 is about 13148.7153745147. The cubic root of 172888716 is about 557.0859639097.

It can be divided in two parts, 172 and 888716, that added together give a palindrome (888888).

The spelling of 172888716 in words is "one hundred seventy-two million, eight hundred eighty-eight thousand, seven hundred sixteen".