172132560 has 80 divisors (see below), whose sum is σ = 592908480. Its totient is φ = 45901440.

The previous prime is 172132549. The next prime is 172132567. The reversal of 172132560 is 65231271.

It is a happy number.

172132560 is a `hidden beast` number, since 1 + 72 + 1 + 32 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172132567) 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, 37686 + ... + 42005.

It is an arithmetic number, because the mean of its divisors is an integer number (7411356).

Almost surely, 2^172132560 is an apocalyptic number.

172132560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172132560 is an abundant number, since it is smaller than the sum of its proper divisors (420775920).

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

172132560 is a wasteful number, since it uses less digits than its factorization.

172132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79713 (or 79701 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 172132560 is about 13119.9298778614. The cubic root of 172132560 is about 556.2726092733.

The spelling of 172132560 in words is "one hundred seventy-two million, one hundred thirty-two thousand, five hundred sixty".