235872 has 120 divisors (see below), whose sum is σ = 853776. Its totient is φ = 62208.

The previous prime is 235871. The next prime is 235877. The reversal of 235872 is 278532.

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

It is an Ulam number.

Its product of digits (3360) is a multiple of the sum of its prime factors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18138 + ... + 18150.

2²³⁵⁸⁷² 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 235872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426888).

235872 is an abundant number, since it is smaller than the sum of its proper divisors (617904).

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

235872 is a wasteful number, since it uses less digits than its factorization.

235872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 25 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 235872 is about 485.6665522764. Note that the first 3 decimals coincide. The cubic root of 235872 is about 61.7862916149.

It can be divided in two parts, 23587 and 2, that multiplied together give a palindrome (47174).

The spelling of 235872 in words is "two hundred thirty-five thousand, eight hundred seventy-two".