72383824 has 20 divisors (see below), whose sum is σ = 148493844. Its totient is φ = 34062848.

The previous prime is 72383809. The next prime is 72383837. The reversal of 72383824 is 42838327.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38044224 + 34339600 = 6168^2 + 5860^2 .

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 3 ways as a sum of consecutive naturals, for example, 132787 + ... + 133330.

Almost surely, 2^72383824 is an apocalyptic number.

It is an amenable number.

72383824 is an abundant number, since it is smaller than the sum of its proper divisors (76110020).

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

72383824 is a wasteful number, since it uses less digits than its factorization.

72383824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266142 (or 266136 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 72383824 is about 8507.8683581729. The cubic root of 72383824 is about 416.7547012563.

The spelling of 72383824 in words is "seventy-two million, three hundred eighty-three thousand, eight hundred twenty-four".