172746 has 32 divisors (see below), whose sum is σ = 439680. Its totient is φ = 49248.

The previous prime is 172741. The next prime is 172751. The reversal of 172746 is 647271.

It is an interprime number because it is at equal distance from previous prime (172741) and next prime (172751).

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 (172741) 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, 150 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (13740).

2¹⁷²⁷⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219840).

172746 is an abundant number, since it is smaller than the sum of its proper divisors (266934).

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

172746 is a wasteful number, since it uses less digits than its factorization.

172746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 172746 is about 415.6272368361. The cubic root of 172746 is about 55.6932634128.

The spelling of 172746 in words is "one hundred seventy-two thousand, seven hundred forty-six".