231744672 has 144 divisors (see below), whose sum is σ = 714329280. Its totient is φ = 73084032.

The previous prime is 231744661. The next prime is 231744701. The reversal of 231744672 is 276447132.

231744672 is a `hidden beast` number, since 23 + 174 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311533 + ... + 312275.

It is an arithmetic number, because the mean of its divisors is an integer number (4960620).

Almost surely, 2^231744672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231744672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357164640).

231744672 is an abundant number, since it is smaller than the sum of its proper divisors (482584608).

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

231744672 is a wasteful number, since it uses less digits than its factorization.

231744672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 767 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 231744672 is about 15223.1623521527. The cubic root of 231744672 is about 614.2378661539.

The spelling of 231744672 in words is "two hundred thirty-one million, seven hundred forty-four thousand, six hundred seventy-two".