73736143936 has 189 divisors, whose sum is σ = 184804785711. Its totient is φ = 29092137984.

The previous prime is 73736143919. The next prime is 73736143963. The reversal of 73736143936 is 63934163737.

The square root of 73736143936 is 271544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8527414336 + 65208729600 = 92344^2 + 255360^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 197683846 + ... + 197684218.

It is an arithmetic number, because the mean of its divisors is an integer number (977803099).

Almost surely, 2^73736143936 is an apocalyptic number.

73736143936 is the 271544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73736143936

73736143936 is an abundant number, since it is smaller than the sum of its proper divisors (111068641775).

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

73736143936 is an equidigital number, since it uses as much as digits as its factorization.

73736143936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 395 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 52.

The spelling of 73736143936 in words is "seventy-three billion, seven hundred thirty-six million, one hundred forty-three thousand, nine hundred thirty-six".