72447424 has 112 divisors (see below), whose sum is σ = 175564800. Its totient is φ = 28993536.

The previous prime is 72447407. The next prime is 72447433. The reversal of 72447424 is 42474427.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72447424.

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 15 ways as a sum of consecutive naturals, for example, 813972 + ... + 814060.

Almost surely, 2^72447424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

72447424 is an abundant number, since it is smaller than the sum of its proper divisors (103117376).

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

72447424 is a wasteful number, since it uses less digits than its factorization.

72447424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its digits is 50176, while the sum is 34.

The square root of 72447424 is about 8511.6052540047. The cubic root of 72447424 is about 416.8767259402.

The spelling of 72447424 in words is "seventy-two million, four hundred forty-seven thousand, four hundred twenty-four".