234306072 has 192 divisors, whose sum is σ = 852284160. Its totient is φ = 56160000.

The previous prime is 234306071. The next prime is 234306077. The reversal of 234306072 is 270603432.

234306072 is a `hidden beast` number, since 23 + 4 + 30 + 607 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234306071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70447 + ... + 73697.

It is an arithmetic number, because the mean of its divisors is an integer number (4438980).

Almost surely, 2^234306072 is an apocalyptic number.

234306072 is a gapful number since it is divisible by the number (22) 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 234306072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426142080).

234306072 is an abundant number, since it is smaller than the sum of its proper divisors (617978088).

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

234306072 is a wasteful number, since it uses less digits than its factorization.

234306072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 234306072 is about 15307.0595478034. The cubic root of 234306072 is about 616.4925713887.

The spelling of 234306072 in words is "two hundred thirty-four million, three hundred six thousand, seventy-two".