72280320 has 144 divisors (see below), whose sum is σ = 263921280. Its totient is φ = 16515072.

The previous prime is 72280309. The next prime is 72280331. The reversal of 72280320 is 2308227.

It is an interprime number because it is at equal distance from previous prime (72280309) and next prime (72280331).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25536 + ... + 28224.

Almost surely, 2^72280320 is an apocalyptic number.

72280320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131960640).

72280320 is an abundant number, since it is smaller than the sum of its proper divisors (191640960).

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

72280320 is a wasteful number, since it uses less digits than its factorization.

72280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72280320 is about 8501.7833423347. The cubic root of 72280320 is about 416.5559627675. Note that the first 3 decimals are identical.

Adding to 72280320 its reverse (2308227), we get a palindrome (74588547).

The spelling of 72280320 in words is "seventy-two million, two hundred eighty thousand, three hundred twenty".