172125760 has 56 divisors (see below), whose sum is σ = 411699456. Its totient is φ = 68544000.

The previous prime is 172125743. The next prime is 172125761. The reversal of 172125760 is 67521271.

It is not an unprimeable number, because it can be changed into a prime (172125761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79249 + ... + 81391.

It is an arithmetic number, because the mean of its divisors is an integer number (7351776).

Almost surely, 2^172125760 is an apocalyptic number.

172125760 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 172125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205849728).

172125760 is an abundant number, since it is smaller than the sum of its proper divisors (239573696).

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

172125760 is a wasteful number, since it uses less digits than its factorization.

172125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 172125760 is about 13119.6707275754. The cubic root of 172125760 is about 556.2652840980.

The spelling of 172125760 in words is "one hundred seventy-two million, one hundred twenty-five thousand, seven hundred sixty".