72802160 has 80 divisors (see below), whose sum is σ = 180792000. Its totient is φ = 27168768.

The previous prime is 72802127. The next prime is 72802181. The reversal of 72802160 is 6120827.

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, 270506 + ... + 270774.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 2^72802160 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 72802160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90396000).

72802160 is an abundant number, since it is smaller than the sum of its proper divisors (107989840).

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

72802160 is a wasteful number, since it uses less digits than its factorization.

72802160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 72802160 is about 8532.4181800941. The cubic root of 72802160 is about 417.5560253260.

Adding to 72802160 its reverse (6120827), we get a palindrome (78922987).

The spelling of 72802160 in words is "seventy-two million, eight hundred two thousand, one hundred sixty".