72817824 has 24 divisors (see below), whose sum is σ = 191147040. Its totient is φ = 24272576.

The previous prime is 72817819. The next prime is 72817837. The reversal of 72817824 is 42871827.

It is a tau number, because it is divible by the number of its divisors (24).

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, 379164 + ... + 379355.

It is an arithmetic number, because the mean of its divisors is an integer number (7964460).

Almost surely, 2^72817824 is an apocalyptic number.

It is an amenable number.

72817824 is an abundant number, since it is smaller than the sum of its proper divisors (118329216).

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

72817824 is a wasteful number, since it uses less digits than its factorization.

72817824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758532 (or 758524 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 72817824 is about 8533.3360416662. The cubic root of 72817824 is about 417.5859700810.

The spelling of 72817824 in words is "seventy-two million, eight hundred seventeen thousand, eight hundred twenty-four".