172129536 has 108 divisors (see below), whose sum is σ = 514859072. Its totient is φ = 57355776.

The previous prime is 172129511. The next prime is 172129537. The reversal of 172129536 is 635921271.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172129536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172129537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60825 + ... + 63591.

Almost surely, 2^172129536 is an apocalyptic number.

172129536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257429536).

172129536 is an abundant number, since it is smaller than the sum of its proper divisors (342729536).

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

172129536 is an frugal number, since it uses more digits than its factorization.

172129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2772 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 172129536 is about 13119.8146328369. The cubic root of 172129536 is about 556.2693517486.

The spelling of 172129536 in words is "one hundred seventy-two million, one hundred twenty-nine thousand, five hundred thirty-six".