73864107772 has 144 divisors (see below), whose sum is σ = 169404879168. Its totient is φ = 27436400640.

The previous prime is 73864107749. The next prime is 73864107773. The reversal of 73864107772 is 27770146837.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73864107773) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 83840772 + ... + 83841652.

It is an arithmetic number, because the mean of its divisors is an integer number (1176422772).

Almost surely, 2^73864107772 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 73864107772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84702439584).

73864107772 is an abundant number, since it is smaller than the sum of its proper divisors (95540771396).

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

73864107772 is a wasteful number, since it uses less digits than its factorization.

73864107772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 52.

The spelling of 73864107772 in words is "seventy-three billion, eight hundred sixty-four million, one hundred seven thousand, seven hundred seventy-two".