233919072 has 72 divisors (see below), whose sum is σ = 666908424. Its totient is φ = 77773824.

The previous prime is 233919067. The next prime is 233919107. The reversal of 233919072 is 270919332.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149848 + ... + 151400.

It is an arithmetic number, because the mean of its divisors is an integer number (9262617).

Almost surely, 2^233919072 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 233919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333454212).

233919072 is an abundant number, since it is smaller than the sum of its proper divisors (432989352).

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

233919072 is a wasteful number, since it uses less digits than its factorization.

233919072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 233919072 is about 15294.4130975987. The cubic root of 233919072 is about 616.1529670153.

The spelling of 233919072 in words is "two hundred thirty-three million, nine hundred nineteen thousand, seventy-two".