72384844 has 48 divisors (see below), whose sum is σ = 157066560. Its totient is φ = 28477440.

The previous prime is 72384833. The next prime is 72384847. The reversal of 72384844 is 44848327.

It is a junction number, because it is equal to n+sod(n) for n = 72384797 and 72384806.

It is not an unprimeable number, because it can be changed into a prime (72384847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17662 + ... + 21370.

It is an arithmetic number, because the mean of its divisors is an integer number (3272220).

Almost surely, 2^72384844 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 72384844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78533280).

72384844 is an abundant number, since it is smaller than the sum of its proper divisors (84681716).

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

72384844 is a wasteful number, since it uses less digits than its factorization.

72384844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3776 counting only the distinct ones).

The product of its digits is 172032, while the sum is 40.

The square root of 72384844 is about 8507.9283024718. The cubic root of 72384844 is about 416.7566588198.

The spelling of 72384844 in words is "seventy-two million, three hundred eighty-four thousand, eight hundred forty-four".