72117798962040 has 384 divisors, whose sum is σ = 253447766208000. Its totient is φ = 17679321086976.

The previous prime is 72117798962023. The next prime is 72117798962051. The reversal of 72117798962040 is 4026989771127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2488608271 + ... + 2488637249.

It is an arithmetic number, because the mean of its divisors is an integer number (660020224500).

Almost surely, 2^{72117798962040} 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 72117798962040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126723883104000).

72117798962040 is an abundant number, since it is smaller than the sum of its proper divisors (181329967245960).

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

72117798962040 is a wasteful number, since it uses less digits than its factorization.

72117798962040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31171 (or 31164 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 72117798962040 in words is "seventy-two trillion, one hundred seventeen billion, seven hundred ninety-eight million, nine hundred sixty-two thousand, forty".