72963152317440 has 4224 divisors, whose sum is σ = 351531129470976. Its totient is φ = 14046068736000.

The previous prime is 72963152317397. The next prime is 72963152317441. The reversal of 72963152317440 is 4471325136927.

72963152317440 is a `hidden beast` number, since 7 + 2 + 9 + 6 + 3 + 1 + 523 + 1 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72963152317441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115630985925 + ... + 115630986555.

Almost surely, 2^{72963152317440} is an apocalyptic number.

72963152317440 is a gapful number since it is divisible by the number (70) 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 72963152317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175765564735488).

72963152317440 is an abundant number, since it is smaller than the sum of its proper divisors (278567977153536).

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

72963152317440 is a wasteful number, since it uses less digits than its factorization.

72963152317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 72963152317440 in words is "seventy-two trillion, nine hundred sixty-three billion, one hundred fifty-two million, three hundred seventeen thousand, four hundred forty".