72796320 has 240 divisors, whose sum is σ = 265097448. Its totient is φ = 18800640.

The previous prime is 72796313. The next prime is 72796333. The reversal of 72796320 is 2369727.

It can be written as a sum of positive squares in 4 ways, for example, as 42458256 + 30338064 = 6516^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531292 + ... + 531428.

Almost surely, 2^72796320 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 72796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132548724).

72796320 is an abundant number, since it is smaller than the sum of its proper divisors (192301128).

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

72796320 is a wasteful number, since it uses less digits than its factorization.

72796320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72796320 is about 8532.0759490291. The cubic root of 72796320 is about 417.5448599412.

The spelling of 72796320 in words is "seventy-two million, seven hundred ninety-six thousand, three hundred twenty".