72655349760 has 1152 divisors, whose sum is σ = 311917132800. Its totient is φ = 15978332160.

The previous prime is 72655349759. The next prime is 72655349917. The reversal of 72655349760 is 6794355627.

72655349760 is a `hidden beast` number, since 7 + 26 + 553 + 4 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×72655349760³ (a number of 34 digits) contains 333 as substring.

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 = 72655349697 and 72655349706.

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, 419973034 + ... + 419973206.

It is an arithmetic number, because the mean of its divisors is an integer number (270761400).

Almost surely, 2^72655349760 is an apocalyptic number.

72655349760 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 72655349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155958566400).

72655349760 is an abundant number, since it is smaller than the sum of its proper divisors (239261783040).

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

72655349760 is a wasteful number, since it uses less digits than its factorization.

72655349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 72655349760 in words is "seventy-two billion, six hundred fifty-five million, three hundred forty-nine thousand, seven hundred sixty".