172114560 has 96 divisors (see below), whose sum is σ = 594352980. Its totient is φ = 45895680.

The previous prime is 172114549. The next prime is 172114561. The reversal of 172114560 is 65411271.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 157552704 + 14561856 = 12552^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (172114561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9181 + ... + 20700.

Almost surely, 2^172114560 is an apocalyptic number.

172114560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172114560 is an abundant number, since it is smaller than the sum of its proper divisors (422238420).

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

172114560 is a wasteful number, since it uses less digits than its factorization.

172114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29906 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 172114560 is about 13119.2438806510. The cubic root of 172114560 is about 556.2532186827.

The spelling of 172114560 in words is "one hundred seventy-two million, one hundred fourteen thousand, five hundred sixty".