72919680 has 128 divisors (see below), whose sum is σ = 234861120. Its totient is φ = 19243008.

The previous prime is 72919661. The next prime is 72919687. The reversal of 72919680 is 8691927.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (72919687) 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, 312844 + ... + 313076.

Almost surely, 2^72919680 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 72919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117430560).

72919680 is an abundant number, since it is smaller than the sum of its proper divisors (161941440).

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

72919680 is a wasteful number, since it uses less digits than its factorization.

72919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 72919680 is about 8539.3020792100. The cubic root of 72919680 is about 417.7805827822.

The spelling of 72919680 in words is "seventy-two million, nine hundred nineteen thousand, six hundred eighty".