172719680 has 112 divisors (see below), whose sum is σ = 476219520. Its totient is φ = 58441728.

The previous prime is 172719667. The next prime is 172719697. The reversal of 172719680 is 86917271.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 185456 + ... + 186384.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^172719680 is an apocalyptic number.

172719680 is a gapful number since it is divisible by the number (10) 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 172719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760).

172719680 is an abundant number, since it is smaller than the sum of its proper divisors (303499840).

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

172719680 is an equidigital number, since it uses as much as digits as its factorization.

172719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 41.

The square root of 172719680 is about 13142.2859503208. The cubic root of 172719680 is about 556.9043474889.

The spelling of 172719680 in words is "one hundred seventy-two million, seven hundred nineteen thousand, six hundred eighty".