72072320 has 64 divisors (see below), whose sum is σ = 181396800. Its totient is φ = 27307008.

The previous prime is 72072307. The next prime is 72072323. The reversal of 72072320 is 2327027.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (72072323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9197 + ... + 15123.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^72072320 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 72072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90698400).

72072320 is an abundant number, since it is smaller than the sum of its proper divisors (109324480).

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

72072320 is a wasteful number, since it uses less digits than its factorization.

72072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 72072320 is about 8489.5418015344. The cubic root of 72072320 is about 416.1560065765.

Adding to 72072320 its reverse (2327027), we get a palindrome (74399347).

The spelling of 72072320 in words is "seventy-two million, seventy-two thousand, three hundred twenty".