233407050072 has 128 divisors (see below), whose sum is σ = 691416000000. Its totient is φ = 64244146176.

The previous prime is 233407050067. The next prime is 233407050083. The reversal of 233407050072 is 270050704332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134179 + ... + 2240877.

It is an arithmetic number, because the mean of its divisors is an integer number (5401687500).

Almost surely, 2^233407050072 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 233407050072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345708000000).

233407050072 is an abundant number, since it is smaller than the sum of its proper divisors (458008949928).

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

233407050072 is a wasteful number, since it uses less digits than its factorization.

233407050072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107193 (or 107189 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The spelling of 233407050072 in words is "two hundred thirty-three billion, four hundred seven million, fifty thousand, seventy-two".