232129872 has 60 divisors (see below), whose sum is σ = 699619284. Its totient is φ = 71424000.

The previous prime is 232129837. The next prime is 232129879. The reversal of 232129872 is 278921232.

232129872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45643536 + 186486336 = 6756^2 + 13656^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232129879) 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, 60129 + ... + 63872.

Almost surely, 2^232129872 is an apocalyptic number.

It is an amenable number.

232129872 is an abundant number, since it is smaller than the sum of its proper divisors (467489412).

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

232129872 is a wasteful number, since it uses less digits than its factorization.

232129872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124028 (or 124019 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 232129872 is about 15235.8088725213. The cubic root of 232129872 is about 614.5780012004.

The spelling of 232129872 in words is "two hundred thirty-two million, one hundred twenty-nine thousand, eight hundred seventy-two".