72841824 has 72 divisors (see below), whose sum is σ = 225985032. Its totient is φ = 22072320.

The previous prime is 72841807. The next prime is 72841837. The reversal of 72841824 is 42814827.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8329 + ... + 14664.

It is an arithmetic number, because the mean of its divisors is an integer number (3138681).

Almost surely, 2^72841824 is an apocalyptic number.

It is an amenable number.

72841824 is an abundant number, since it is smaller than the sum of its proper divisors (153143208).

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

72841824 is a wasteful number, since it uses less digits than its factorization.

72841824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23020 (or 23009 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 72841824 is about 8534.7421753677. The cubic root of 72841824 is about 417.6318423775.

The spelling of 72841824 in words is "seventy-two million, eight hundred forty-one thousand, eight hundred twenty-four".