72743202688 has 96 divisors (see below), whose sum is σ = 158367943800. Its totient is φ = 33264691200.

The previous prime is 72743202673. The next prime is 72743202709. The reversal of 72743202688 is 88620234727.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2342463 + ... + 2373313.

Almost surely, 2^72743202688 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 72743202688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79183971900).

72743202688 is an abundant number, since it is smaller than the sum of its proper divisors (85624741112).

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

72743202688 is a wasteful number, since it uses less digits than its factorization.

72743202688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31000 (or 30975 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 72743202688 in words is "seventy-two billion, seven hundred forty-three million, two hundred two thousand, six hundred eighty-eight".