72978005760 has 288 divisors, whose sum is σ = 260469699840. Its totient is φ = 17259724800.

The previous prime is 72978005747. The next prime is 72978005767. The reversal of 72978005760 is 6750087927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72978005767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1710771 + ... + 1752909.

It is an arithmetic number, because the mean of its divisors is an integer number (904408680).

Almost surely, 2^72978005760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72978005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130234849920).

72978005760 is an abundant number, since it is smaller than the sum of its proper divisors (187491694080).

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

72978005760 is a wasteful number, since it uses less digits than its factorization.

72978005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42215 (or 42201 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 72978005760 in words is "seventy-two billion, nine hundred seventy-eight million, five thousand, seven hundred sixty".