72718776000 has 1792 divisors, whose sum is σ = 319527936000. Its totient is φ = 16024780800.

The previous prime is 72718775963. The next prime is 72718776001. The reversal of 72718776000 is 67781727.

It is a happy number.

72718776000 is a `hidden beast` number, since 7 + 27 + 18 + 7 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72718776001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1547207977 + ... + 1547208023.

It is an arithmetic number, because the mean of its divisors is an integer number (178308000).

Almost surely, 2^72718776000 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 72718776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968000).

72718776000 is an abundant number, since it is smaller than the sum of its proper divisors (246809160000).

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

72718776000 is a wasteful number, since it uses less digits than its factorization.

72718776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 72718776000 in words is "seventy-two billion, seven hundred eighteen million, seven hundred seventy-six thousand".