172580960 has 72 divisors (see below), whose sum is σ = 426429360. Its totient is φ = 65998592.

The previous prime is 172580953. The next prime is 172580981. The reversal of 172580960 is 69085271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83621 + ... + 85659.

It is an arithmetic number, because the mean of its divisors is an integer number (5922630).

Almost surely, 2^172580960 is an apocalyptic number.

172580960 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 172580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213214680).

172580960 is an abundant number, since it is smaller than the sum of its proper divisors (253848400).

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

172580960 is a wasteful number, since it uses less digits than its factorization.

172580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 172580960 is about 13137.0072695420. The cubic root of 172580960 is about 556.7552147777.

The spelling of 172580960 in words is "one hundred seventy-two million, five hundred eighty thousand, nine hundred sixty".