234001872 has 400 divisors, whose sum is σ = 831821760. Its totient is φ = 62705664.

The previous prime is 234001843. The next prime is 234001921. The reversal of 234001872 is 278100432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5441883 + ... + 5441925.

Almost surely, 2^234001872 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 234001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415910880).

234001872 is an abundant number, since it is smaller than the sum of its proper divisors (597819888).

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

234001872 is a wasteful number, since it uses less digits than its factorization.

234001872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 234001872 is about 15297.1197288901. The cubic root of 234001872 is about 616.2256580346.

The spelling of 234001872 in words is "two hundred thirty-four million, one thousand, eight hundred seventy-two".