72327680 has 80 divisors (see below), whose sum is σ = 182666880. Its totient is φ = 27389952.

The previous prime is 72327659. The next prime is 72327683. The reversal of 72327680 is 8672327.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72327680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72327683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47897 + ... + 49383.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^72327680 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 72327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

72327680 is an abundant number, since it is smaller than the sum of its proper divisors (110339200).

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

72327680 is a wasteful number, since it uses less digits than its factorization.

72327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 72327680 is about 8504.5681842172. The cubic root of 72327680 is about 416.6469224422.

The spelling of 72327680 in words is "seventy-two million, three hundred twenty-seven thousand, six hundred eighty".