72794320 has 80 divisors (see below), whose sum is σ = 180613440. Its totient is φ = 27205632.

The previous prime is 72794299. The next prime is 72794327. The reversal of 72794320 is 2349727.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72794327) 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, 125872 + ... + 126448.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668).

Almost surely, 2^72794320 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 72794320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306720).

72794320 is an abundant number, since it is smaller than the sum of its proper divisors (107819120).

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

72794320 is a wasteful number, since it uses less digits than its factorization.

72794320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 72794320 is about 8531.9587434539. The cubic root of 72794320 is about 417.5410360420.

The spelling of 72794320 in words is "seventy-two million, seven hundred ninety-four thousand, three hundred twenty".