72943350592 has 252 divisors, whose sum is σ = 175567090572. Its totient is φ = 29976576000.

The previous prime is 72943350587. The next prime is 72943350607. The reversal of 72943350592 is 29505334927.

It can be written as a sum of positive squares in 6 ways, for example, as 3698585856 + 69244764736 = 60816^2 + 263144^2 .

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 Harshad number since it is a multiple of its sum of digits (49).

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 35 ways as a sum of consecutive naturals, for example, 532433148 + ... + 532433284.

Almost surely, 2^72943350592 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 72943350592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87783545286).

72943350592 is an abundant number, since it is smaller than the sum of its proper divisors (102623739980).

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

72943350592 is a wasteful number, since it uses less digits than its factorization.

72943350592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 49.

The spelling of 72943350592 in words is "seventy-two billion, nine hundred forty-three million, three hundred fifty thousand, five hundred ninety-two".