72234 has 12 divisors (see below), whose sum is σ = 156546. Its totient is φ = 24072.

The previous prime is 72229. The next prime is 72251. The reversal of 72234 is 43227.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 21609 = 225^2 + 147^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4013 = 72234 / (7 + 2 + 2 + 3 + 4).

It is an Ulam number.

It is a d-powerful number, because it can be written as 7 + 2 + 2⁷ + 3⁸ + 4⁸ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1989 + ... + 2024.

2⁷²²³⁴ is an apocalyptic number.

72234 is an abundant number, since it is smaller than the sum of its proper divisors (84312).

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

72234 is a wasteful number, since it uses less digits than its factorization.

72234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4018 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 72234 is about 268.7638368531. The cubic root of 72234 is about 41.6466962076.

It can be divided in two parts, 7223 and 4, that added together give a palindrome (7227).

The spelling of 72234 in words is "seventy-two thousand, two hundred thirty-four".