172638 has 32 divisors (see below), whose sum is σ = 403200. Its totient is φ = 54648.

The previous prime is 172633. The next prime is 172643. The reversal of 172638 is 836271.

172638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172633) and next prime (172643).

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 (172633) 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, 1173 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹⁷²⁶³⁸ is an apocalyptic number.

172638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

172638 is an abundant number, since it is smaller than the sum of its proper divisors (230562).

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

172638 is a wasteful number, since it uses less digits than its factorization.

172638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 172638 is about 415.4972924100. The cubic root of 172638 is about 55.6816546030.

It can be divided in two parts, 17263 and 8, that added together give a palindrome (17271).

The spelling of 172638 in words is "one hundred seventy-two thousand, six hundred thirty-eight".