172072 has 16 divisors (see below), whose sum is σ = 327060. Its totient is φ = 84864.

The previous prime is 172069. The next prime is 172079. The reversal of 172072 is 270271.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 676 = 414^2 + 26^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (172079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1018 + ... + 1174.

2¹⁷²⁰⁷² is an apocalyptic number.

It is an amenable number.

172072 is a deficient number, since it is larger than the sum of its proper divisors (154988).

172072 is a wasteful number, since it uses less digits than its factorization.

172072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 172072 is about 414.8156216923. The cubic root of 172072 is about 55.6207365331.

The spelling of 172072 in words is "one hundred seventy-two thousand, seventy-two", and thus it is an iban number.