72824324 has 24 divisors (see below), whose sum is σ = 129148320. Its totient is φ = 35928576.

The previous prime is 72824309. The next prime is 72824347. The reversal of 72824324 is 42342827.

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 7 ways as a sum of consecutive naturals, for example, 125924 + ... + 126500.

It is an arithmetic number, because the mean of its divisors is an integer number (5381180).

Almost surely, 2^72824324 is an apocalyptic number.

It is an amenable number.

72824324 is a deficient number, since it is larger than the sum of its proper divisors (56323996).

72824324 is a wasteful number, since it uses less digits than its factorization.

72824324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 72824324 is about 8533.7168924215. The cubic root of 72824324 is about 417.5983948231.

It can be divided in two parts, 728 and 24324, that added together give a palindrome (25052).

The spelling of 72824324 in words is "seventy-two million, eight hundred twenty-four thousand, three hundred twenty-four".