72054766080 has 640 divisors, whose sum is σ = 282379426560. Its totient is φ = 17270046720.

The previous prime is 72054766051. The next prime is 72054766081. The reversal of 72054766080 is 8066745027.

72054766080 is a `hidden beast` number, since 7 + 20 + 547 + 6 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (72054766081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73750552 + ... + 73751528.

It is an arithmetic number, because the mean of its divisors is an integer number (441217854).

Almost surely, 2^72054766080 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 72054766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141189713280).

72054766080 is an abundant number, since it is smaller than the sum of its proper divisors (210324660480).

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

72054766080 is a wasteful number, since it uses less digits than its factorization.

72054766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72054766080 in words is "seventy-two billion, fifty-four million, seven hundred sixty-six thousand, eighty".