72047341080 has 1024 divisors, whose sum is σ = 304432128000. Its totient is φ = 14892595200.

The previous prime is 72047341063. The next prime is 72047341183. The reversal of 72047341080 is 8014374027.

It is a happy number.

72047341080 is a `hidden beast` number, since 72 + 0 + 473 + 41 + 0 + 80 = 666.

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 255 ways as a sum of consecutive naturals, for example, 126177195 + ... + 126177765.

It is an arithmetic number, because the mean of its divisors is an integer number (297297000).

Almost surely, 2^72047341080 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 72047341080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152216064000).

72047341080 is an abundant number, since it is smaller than the sum of its proper divisors (232384786920).

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

72047341080 is a wasteful number, since it uses less digits than its factorization.

72047341080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 72047341080 in words is "seventy-two billion, forty-seven million, three hundred forty-one thousand, eighty".