72816480 has 144 divisors (see below), whose sum is σ = 271134864. Its totient is φ = 17648640.

The previous prime is 72816479. The next prime is 72816511. The reversal of 72816480 is 8461827.

72816480 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13542 + ... + 18138.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 2^72816480 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 72816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135567432).

72816480 is an abundant number, since it is smaller than the sum of its proper divisors (198318384).

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

72816480 is a wasteful number, since it uses less digits than its factorization.

72816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72816480 is about 8533.2572913279. The cubic root of 72816480 is about 417.5834009344.

The spelling of 72816480 in words is "seventy-two million, eight hundred sixteen thousand, four hundred eighty".