172580496 has 80 divisors (see below), whose sum is σ = 511991040. Its totient is φ = 49541760.

The previous prime is 172580491. The next prime is 172580509. The reversal of 172580496 is 694085271.

It is not an unprimeable number, because it can be changed into a prime (172580491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431 + ... + 18633.

It is an arithmetic number, because the mean of its divisors is an integer number (6399888).

Almost surely, 2^172580496 is an apocalyptic number.

172580496 is a gapful number since it is divisible by the number (16) 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 172580496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255995520).

172580496 is an abundant number, since it is smaller than the sum of its proper divisors (339410544).

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

172580496 is a wasteful number, since it uses less digits than its factorization.

172580496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17244 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 172580496 is about 13136.9896094958. The cubic root of 172580496 is about 556.7547158145.

The spelling of 172580496 in words is "one hundred seventy-two million, five hundred eighty thousand, four hundred ninety-six".