72066170880 has 512 divisors, whose sum is σ = 279713865600. Its totient is φ = 17458790400.

The previous prime is 72066170867. The next prime is 72066170881. The reversal of 72066170880 is 8807166027.

72066170880 is a `hidden beast` number, since 7 + 20 + 6 + 617 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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 (72066170881) 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, 48659740 + ... + 48661220.

Almost surely, 2^72066170880 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 72066170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139856932800).

72066170880 is an abundant number, since it is smaller than the sum of its proper divisors (207647694720).

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

72066170880 is a wasteful number, since it uses less digits than its factorization.

72066170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 72066170880 in words is "seventy-two billion, sixty-six million, one hundred seventy thousand, eight hundred eighty".