172787120 has 80 divisors (see below), whose sum is σ = 449033760. Its totient is φ = 61286400.

The previous prime is 172787117. The next prime is 172787143. The reversal of 172787120 is 21787271.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 33686 + ... + 38474.

It is an arithmetic number, because the mean of its divisors is an integer number (5612922).

Almost surely, 2^172787120 is an apocalyptic number.

172787120 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 172787120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224516880).

172787120 is an abundant number, since it is smaller than the sum of its proper divisors (276246640).

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

172787120 is a wasteful number, since it uses less digits than its factorization.

172787120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 35.

The square root of 172787120 is about 13144.8514635959. The cubic root of 172787120 is about 556.9768208785.

The spelling of 172787120 in words is "one hundred seventy-two million, seven hundred eighty-seven thousand, one hundred twenty".