73016956872 has 96 divisors (see below), whose sum is σ = 206554639200. Its totient is φ = 24163795584.

The previous prime is 73016956849. The next prime is 73016956891. The reversal of 73016956872 is 27865961037.

73016956872 is a `hidden beast` number, since 7 + 3 + 0 + 1 + 6 + 9 + 568 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135108 + ... + 405324.

It is an arithmetic number, because the mean of its divisors is an integer number (2151610825).

Almost surely, 2^73016956872 is an apocalyptic number.

73016956872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is a pronic number, being equal to 270216×270217.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73016956872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103277319600).

73016956872 is an abundant number, since it is smaller than the sum of its proper divisors (133537682328).

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

73016956872 is a wasteful number, since it uses less digits than its factorization.

73016956872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270377 (or 270361 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 73016956872 in words is "seventy-three billion, sixteen million, nine hundred fifty-six thousand, eight hundred seventy-two".