129721032 has 144 divisors (see below), whose sum is σ = 414545040. Its totient is φ = 36533952.

The previous prime is 129721021. The next prime is 129721061. The reversal of 129721032 is 230127921.

It is a super-2 number, since 2×129721032² = 33655092286290048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129720987 and 129721005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292603 + ... + 293045.

It is an arithmetic number, because the mean of its divisors is an integer number (2878785).

Almost surely, 2^129721032 is an apocalyptic number.

129721032 is a gapful number since it is divisible by the number (12) 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 129721032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207272520).

129721032 is an abundant number, since it is smaller than the sum of its proper divisors (284824008).

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

129721032 is a wasteful number, since it uses less digits than its factorization.

129721032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 129721032 is about 11389.5141248431. The cubic root of 129721032 is about 506.2170846455.

Adding to 129721032 its reverse (230127921), we get a palindrome (359848953).

The spelling of 129721032 in words is "one hundred twenty-nine million, seven hundred twenty-one thousand, thirty-two".