72763608960 has 768 divisors, whose sum is σ = 301538764800. Its totient is φ = 16422912000.

The previous prime is 72763608943. The next prime is 72763608961. The reversal of 72763608960 is 6980636727.

72763608960 is a `hidden beast` number, since 7 + 27 + 6 + 3 + 608 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×72763608960³ (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 = 72763608897 and 72763608906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72763608961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96888585 + ... + 96889335.

It is an arithmetic number, because the mean of its divisors is an integer number (392628600).

Almost surely, 2^72763608960 is an apocalyptic number.

72763608960 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 72763608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150769382400).

72763608960 is an abundant number, since it is smaller than the sum of its proper divisors (228775155840).

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

72763608960 is an equidigital number, since it uses as much as digits as its factorization.

72763608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 72763608960 in words is "seventy-two billion, seven hundred sixty-three million, six hundred eight thousand, nine hundred sixty".