72130080 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 16542720.

The previous prime is 72130067. The next prime is 72130109. The reversal of 72130080 is 8003127.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99961 + ... + 100679.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^72130080 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 72130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

72130080 is an abundant number, since it is smaller than the sum of its proper divisors (189143520).

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

72130080 is a wasteful number, since it uses less digits than its factorization.

72130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 72130080 is about 8492.9429528285. The cubic root of 72130080 is about 416.2671484246.

The spelling of 72130080 in words is "seventy-two million, one hundred thirty thousand, eighty".