235765072 has 40 divisors (see below), whose sum is σ = 486972800. Its totient is φ = 110253312.

The previous prime is 235765037. The next prime is 235765097. The reversal of 235765072 is 270567532.

235765072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19108 + ... + 28924.

It is an arithmetic number, because the mean of its divisors is an integer number (12174320).

Almost surely, 2^235765072 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 235765072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243486400).

235765072 is an abundant number, since it is smaller than the sum of its proper divisors (251207728).

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

235765072 is a wasteful number, since it uses less digits than its factorization.

235765072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 235765072 is about 15354.6433367890. The cubic root of 235765072 is about 617.7695366444.

The spelling of 235765072 in words is "two hundred thirty-five million, seven hundred sixty-five thousand, seventy-two".