72477538560 has 864 divisors, whose sum is σ = 302436126720. Its totient is φ = 16387080192.

The previous prime is 72477538487. The next prime is 72477538571. The reversal of 72477538560 is 6583577427.

It is a happy number.

72477538560 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 75 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 72477538497 and 72477538506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215066712 + ... + 215067048.

Almost surely, 2^72477538560 is an apocalyptic number.

72477538560 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 72477538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151218063360).

72477538560 is an abundant number, since it is smaller than the sum of its proper divisors (229958588160).

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

72477538560 is a wasteful number, since it uses less digits than its factorization.

72477538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 72477538560 in words is "seventy-two billion, four hundred seventy-seven million, five hundred thirty-eight thousand, five hundred sixty".