72528784560 has 160 divisors (see below), whose sum is σ = 255631495680. Its totient is φ = 18891194112.

The previous prime is 72528784529. The next prime is 72528784579. The reversal of 72528784560 is 6548782527.

72528784560 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 8 + 78 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72528784497 and 72528784506.

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, 297564 + ... + 483323.

It is an arithmetic number, because the mean of its divisors is an integer number (1597696848).

Almost surely, 2^72528784560 is an apocalyptic number.

It is an amenable number.

72528784560 is an abundant number, since it is smaller than the sum of its proper divisors (183102711120).

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

72528784560 is a wasteful number, since it uses less digits than its factorization.

72528784560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780952 (or 780940 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 72528784560 in words is "seventy-two billion, five hundred twenty-eight million, seven hundred eighty-four thousand, five hundred sixty".