72842880 has 128 divisors (see below), whose sum is σ = 253368000. Its totient is φ = 17653760.

The previous prime is 72842873. The next prime is 72842881. The reversal of 72842880 is 8824827.

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 (72842881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19396 + ... + 22844.

Almost surely, 2^72842880 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 72842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126684000).

72842880 is an abundant number, since it is smaller than the sum of its proper divisors (180525120).

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

72842880 is a wasteful number, since it uses less digits than its factorization.

72842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 72842880 is about 8534.8040399297. The cubic root of 72842880 is about 417.6338605271.

The spelling of 72842880 in words is "seventy-two million, eight hundred forty-two thousand, eight hundred eighty".