72433 has 4 divisors (see below), whose sum is σ = 73188. Its totient is φ = 71680.

The previous prime is 72431. The next prime is 72461. The reversal of 72433 is 33427.

72433 is nontrivially palindromic in base 3.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 42849 = 172^2 + 207^2 .

It is a cyclic number.

It is not a de Polignac number, because 72433 - 2¹ = 72431 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 72433.

It is not an unprimeable number, because it can be changed into a prime (72431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (18297).

2⁷²⁴³³ is an apocalyptic number.

It is an amenable number.

72433 is a deficient number, since it is larger than the sum of its proper divisors (755).

72433 is a wasteful number, since it uses less digits than its factorization.

72433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754.

The product of its digits is 504, while the sum is 19.

The square root of 72433 is about 269.1337957225. The cubic root of 72433 is about 41.6849057926.

It can be divided in two parts, 724 and 33, that added together give a palindrome (757).

The spelling of 72433 in words is "seventy-two thousand, four hundred thirty-three".