172972 has 12 divisors (see below), whose sum is σ = 306936. Its totient is φ = 85280.

The previous prime is 172969. The next prime is 172973. The reversal of 172972 is 279271.

It is a happy number.

172972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 172972.

It is not an unprimeable number, because it can be changed into a prime (172973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (25578).

2¹⁷²⁹⁷² is an apocalyptic number.

It is an amenable number.

172972 is a deficient number, since it is larger than the sum of its proper divisors (133964).

172972 is a wasteful number, since it uses less digits than its factorization.

172972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 172972 is about 415.8990262071. The cubic root of 172972 is about 55.7175402751.

The spelling of 172972 in words is "one hundred seventy-two thousand, nine hundred seventy-two".