72323424 has 72 divisors (see below), whose sum is σ = 216510840. Its totient is φ = 22837248.

The previous prime is 72323417. The next prime is 72323453. The reversal of 72323424 is 42432327.

72323424 is a `hidden beast` number, since 7 + 232 + 3 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1137 + ... + 12080.

It is an arithmetic number, because the mean of its divisors is an integer number (3007095).

Almost surely, 2^72323424 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 72323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108255420).

72323424 is an abundant number, since it is smaller than the sum of its proper divisors (144187416).

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

72323424 is a wasteful number, since it uses less digits than its factorization.

72323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252 (or 13241 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 72323424 is about 8504.3179620708. The cubic root of 72323424 is about 416.6387499874.

The spelling of 72323424 in words is "seventy-two million, three hundred twenty-three thousand, four hundred twenty-four".