129024 has 72 divisors (see below), whose sum is σ = 425880. Its totient is φ = 36864.

The previous prime is 129023. The next prime is 129037. The reversal of 129024 is 420921.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 128988 and 129006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18429 + ... + 18435.

It is an arithmetic number, because the mean of its divisors is an integer number (5915).

2¹²⁹⁰²⁴ is an apocalyptic number.

129024 is a gapful number since it is divisible by the number (14) 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 129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212940).

129024 is an abundant number, since it is smaller than the sum of its proper divisors (296856).

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

129024 is an equidigital number, since it uses as much as digits as its factorization.

129024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 129024 is about 359.1991091303. The cubic root of 129024 is about 50.5308767813.

Adding to 129024 its reverse (420921), we get a palindrome (549945).

The spelling of 129024 in words is "one hundred twenty-nine thousand, twenty-four".