72658694742396 has 192 divisors, whose sum is σ = 203503088302080. Its totient is φ = 19727201894400.

The previous prime is 72658694742379. The next prime is 72658694742397. The reversal of 72658694742396 is 69324749685627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72658694742397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2162379996 + ... + 2162413596.

It is an arithmetic number, because the mean of its divisors is an integer number (1059911918240).

Almost surely, 2^{72658694742396} 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 72658694742396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101751544151040).

72658694742396 is an abundant number, since it is smaller than the sum of its proper divisors (130844393559684).

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

72658694742396 is a wasteful number, since it uses less digits than its factorization.

72658694742396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40924 (or 40922 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 78.

The spelling of 72658694742396 in words is "seventy-two trillion, six hundred fifty-eight billion, six hundred ninety-four million, seven hundred forty-two thousand, three hundred ninety-six".