73869272512 has 112 divisors (see below), whose sum is σ = 179332128000. Its totient is φ = 29483495424.

The previous prime is 73869272483. The next prime is 73869272551. The reversal of 73869272512 is 21527296837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 73869272512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428664 + ... + 575752.

Almost surely, 2^73869272512 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 73869272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89666064000).

73869272512 is an abundant number, since it is smaller than the sum of its proper divisors (105462855488).

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

73869272512 is a wasteful number, since it uses less digits than its factorization.

73869272512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147186 (or 147176 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The spelling of 73869272512 in words is "seventy-three billion, eight hundred sixty-nine million, two hundred seventy-two thousand, five hundred twelve".