129072 has 20 divisors (see below), whose sum is σ = 333560. Its totient is φ = 43008.

The previous prime is 129061. The next prime is 129083. The reversal of 129072 is 270921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129061) and next prime (129083).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is an unprimeable number.

129072 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 3 ways as a sum of consecutive naturals, for example, 1297 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (16678).

2¹²⁹⁰⁷² is an apocalyptic number.

129072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129072 is an abundant number, since it is smaller than the sum of its proper divisors (204488).

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

129072 is a wasteful number, since it uses less digits than its factorization.

129072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 129072 is about 359.2659182277. The cubic root of 129072 is about 50.5371422341.

Adding to 129072 its reverse (270921), we get a palindrome (399993).

The spelling of 129072 in words is "one hundred twenty-nine thousand, seventy-two".