72604546560 has 1920 divisors, whose sum is σ = 345611629440. Its totient is φ = 14269022208.

The previous prime is 72604546549. The next prime is 72604546601. The reversal of 72604546560 is 6564540627.

72604546560 is a `hidden beast` number, since 7 + 2 + 6 + 0 + 45 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 748500432 + ... + 748500528.

It is an arithmetic number, because the mean of its divisors is an integer number (180006057).

Almost surely, 2^72604546560 is an apocalyptic number.

72604546560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72604546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172805814720).

72604546560 is an abundant number, since it is smaller than the sum of its proper divisors (273007082880).

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

72604546560 is a wasteful number, since it uses less digits than its factorization.

72604546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 72604546560 in words is "seventy-two billion, six hundred four million, five hundred forty-six thousand, five hundred sixty".