73112318280 has 512 divisors, whose sum is σ = 260112384000. Its totient is φ = 18237726720.

The previous prime is 73112318263. The next prime is 73112318351. The reversal of 73112318280 is 8281321137.

73112318280 is a `hidden beast` number, since 7 + 311 + 2 + 318 + 28 + 0 = 666.

It is a super-2 number, since 2×73112318280² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152635081 + ... + 152635559.

It is an arithmetic number, because the mean of its divisors is an integer number (508032000).

Almost surely, 2^73112318280 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 73112318280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130056192000).

73112318280 is an abundant number, since it is smaller than the sum of its proper divisors (187000065720).

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

73112318280 is a wasteful number, since it uses less digits than its factorization.

73112318280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 73112318280 in words is "seventy-three billion, one hundred twelve million, three hundred eighteen thousand, two hundred eighty".