72141835680 has 576 divisors, whose sum is σ = 269048666880. Its totient is φ = 18050770944.

The previous prime is 72141835657. The next prime is 72141835697. The reversal of 72141835680 is 8653814127.

72141835680 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 1 + 83 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260439702 + ... + 260439978.

It is an arithmetic number, because the mean of its divisors is an integer number (467098380).

Almost surely, 2^72141835680 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 72141835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134524333440).

72141835680 is an abundant number, since it is smaller than the sum of its proper divisors (196906831200).

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

72141835680 is a wasteful number, since it uses less digits than its factorization.

72141835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 72141835680 in words is "seventy-two billion, one hundred forty-one million, eight hundred thirty-five thousand, six hundred eighty".