72824224 has 24 divisors (see below), whose sum is σ = 156407328. Its totient is φ = 33101760.

The previous prime is 72824221. The next prime is 72824261. The reversal of 72824224 is 42242827.

It is not an unprimeable number, because it can be changed into a prime (72824221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103092 + ... + 103795.

It is an arithmetic number, because the mean of its divisors is an integer number (6516972).

Almost surely, 2^72824224 is an apocalyptic number.

It is an amenable number.

72824224 is an abundant number, since it is smaller than the sum of its proper divisors (83583104).

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

72824224 is a wasteful number, since it uses less digits than its factorization.

72824224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206908 (or 206900 counting only the distinct ones).

The product of its digits is 14336, while the sum is 31.

The square root of 72824224 is about 8533.7110333078. The cubic root of 72824224 is about 417.5982036789.

The spelling of 72824224 in words is "seventy-two million, eight hundred twenty-four thousand, two hundred twenty-four".