72691716159840 has 1536 divisors, whose sum is σ = 257005434470400. Its totient is φ = 17195627970560.

The previous prime is 72691716159763. The next prime is 72691716159869. The reversal of 72691716159840 is 4895161719627.

72691716159840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 406098972871 + ... + 406098973049.

It is an arithmetic number, because the mean of its divisors is an integer number (167321246400).

Almost surely, 2^{72691716159840} 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 72691716159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128502717235200).

72691716159840 is an abundant number, since it is smaller than the sum of its proper divisors (184313718310560).

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

72691716159840 is a wasteful number, since it uses less digits than its factorization.

72691716159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 72691716159840 in words is "seventy-two trillion, six hundred ninety-one billion, seven hundred sixteen million, one hundred fifty-nine thousand, eight hundred forty".