72808560 has 240 divisors, whose sum is σ = 276812640. Its totient is φ = 16988160.

The previous prime is 72808543. The next prime is 72808573. The reversal of 72808560 is 6580827.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 229522 + ... + 229838.

It is an arithmetic number, because the mean of its divisors is an integer number (1153386).

Almost surely, 2^72808560 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 72808560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138406320).

72808560 is an abundant number, since it is smaller than the sum of its proper divisors (204004080).

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

72808560 is a wasteful number, since it uses less digits than its factorization.

72808560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 72808560 is about 8532.7932120731. The cubic root of 72808560 is about 417.5682606784.

The spelling of 72808560 in words is "seventy-two million, eight hundred eight thousand, five hundred sixty".