172456 has 8 divisors (see below), whose sum is σ = 323370. Its totient is φ = 86224.

The previous prime is 172441. The next prime is 172489. The reversal of 172456 is 654271.

It can be written as a sum of positive squares in only one way, i.e., 168100 + 4356 = 410^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 172456.

It is an unprimeable number.

172456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 10771 + ... + 10786.

2¹⁷²⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

172456 is a deficient number, since it is larger than the sum of its proper divisors (150914).

172456 is a wasteful number, since it uses less digits than its factorization.

172456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21563 (or 21559 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 172456 is about 415.2782199923. The cubic root of 172456 is about 55.6620806498.

The spelling of 172456 in words is "one hundred seventy-two thousand, four hundred fifty-six".