72141560064 has 756 divisors, whose sum is σ = 262836455616. Its totient is φ = 19715705856.

The previous prime is 72141560027. The next prime is 72141560089. The reversal of 72141560064 is 46006514127.

72141560064 is a `hidden beast` number, since 7 + 2 + 1 + 41 + 5 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3136589557 + ... + 3136589579.

Almost surely, 2^72141560064 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 72141560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131418227808).

72141560064 is an abundant number, since it is smaller than the sum of its proper divisors (190694895552).

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

72141560064 is an frugal number, since it uses more digits than its factorization.

72141560064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 72141560064 in words is "seventy-two billion, one hundred forty-one million, five hundred sixty thousand, sixty-four".