172536 has 64 divisors (see below), whose sum is σ = 537600. Its totient is φ = 44928.

The previous prime is 172519. The next prime is 172541. The reversal of 172536 is 635271.

172536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

172536 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172536.

It is an unprimeable number.

172536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2¹⁷²⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268800).

172536 is an abundant number, since it is smaller than the sum of its proper divisors (365064).

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

172536 is a wasteful number, since it uses less digits than its factorization.

172536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 172536 is about 415.3745297921. The cubic root of 172536 is about 55.6706862807.

The spelling of 172536 in words is "one hundred seventy-two thousand, five hundred thirty-six".