72127330860 has 288 divisors, whose sum is σ = 229993404480. Its totient is φ = 16856985600.

The previous prime is 72127330859. The next prime is 72127330939. The reversal of 72127330860 is 6803372127.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17935650 + ... + 17939670.

It is an arithmetic number, because the mean of its divisors is an integer number (798588210).

Almost surely, 2^72127330860 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 72127330860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114996702240).

72127330860 is an abundant number, since it is smaller than the sum of its proper divisors (157866073620).

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

72127330860 is a wasteful number, since it uses less digits than its factorization.

72127330860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 72127330860 in words is "seventy-two billion, one hundred twenty-seven million, three hundred thirty thousand, eight hundred sixty".