72096080 has 80 divisors (see below), whose sum is σ = 197796864. Its totient is φ = 23915520.

The previous prime is 72096047. The next prime is 72096097. The reversal of 72096080 is 8069027.

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

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, 15284 + ... + 19436.

Almost surely, 2^72096080 is an apocalyptic number.

72096080 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 72096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98898432).

72096080 is an abundant number, since it is smaller than the sum of its proper divisors (125700784).

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

72096080 is a wasteful number, since it uses less digits than its factorization.

72096080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 72096080 is about 8490.9410550304. The cubic root of 72096080 is about 416.2017327783.

The spelling of 72096080 in words is "seventy-two million, ninety-six thousand, eighty".