235972 has 24 divisors (see below), whose sum is σ = 467712. Its totient is φ = 103200.

The previous prime is 235967. The next prime is 235979. The reversal of 235972 is 279532.

235972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 235972.

It is not an unprimeable number, because it can be changed into a prime (235979) by changing a digit.

235972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1278 + ... + 1450.

It is an arithmetic number, because the mean of its divisors is an integer number (19488).

2²³⁵⁹⁷² is an apocalyptic number.

235972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

235972 is a deficient number, since it is larger than the sum of its proper divisors (231740).

235972 is a wasteful number, since it uses less digits than its factorization.

235972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 235972 is about 485.7694926609. The cubic root of 235972 is about 61.7950219944.

It can be divided in two parts, 23 and 5972, that added together give a palindrome (5995).

The spelling of 235972 in words is "two hundred thirty-five thousand, nine hundred seventy-two".