72759173760 has 768 divisors, whose sum is σ = 311946485760. Its totient is φ = 15216574464.

The previous prime is 72759173723. The next prime is 72759173761. The reversal of 72759173760 is 6737195727.

It is a junction number, because it is equal to n+sod(n) for n = 72759173697 and 72759173706.

It is not an unprimeable number, because it can be changed into a prime (72759173761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66567774 + ... + 66568866.

It is an arithmetic number, because the mean of its divisors is an integer number (406180320).

Almost surely, 2^72759173760 is an apocalyptic number.

72759173760 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 72759173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155973242880).

72759173760 is an abundant number, since it is smaller than the sum of its proper divisors (239187312000).

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

72759173760 is a wasteful number, since it uses less digits than its factorization.

72759173760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 72759173760 in words is "seventy-two billion, seven hundred fifty-nine million, one hundred seventy-three thousand, seven hundred sixty".