72711433251072 has 1728 divisors, whose sum is σ = 286683405281280. Its totient is φ = 17656057036800.

The previous prime is 72711433251059. The next prime is 72711433251091. The reversal of 72711433251072 is 27015233411727.

72711433251072 is a `hidden beast` number, since 7 + 27 + 1 + 1 + 43 + 3 + 2 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24148598047 + ... + 24148601057.

Almost surely, 2^{72711433251072} is an apocalyptic number.

72711433251072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72711433251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143341702640640).

72711433251072 is an abundant number, since it is smaller than the sum of its proper divisors (213971972030208).

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

72711433251072 is a wasteful number, since it uses less digits than its factorization.

72711433251072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

Adding to 72711433251072 its reverse (27015233411727), we get a palindrome (99726666662799).

The spelling of 72711433251072 in words is "seventy-two trillion, seven hundred eleven billion, four hundred thirty-three million, two hundred fifty-one thousand, seventy-two".