72446705464448 has 256 divisors, whose sum is σ = 170097453792000. Its totient is φ = 30720161267712.

The previous prime is 72446705464439. The next prime is 72446705464481. The reversal of 72446705464448 is 84446450764427.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2912183786 + ... + 2912208662.

It is an arithmetic number, because the mean of its divisors is an integer number (664443178875).

Almost surely, 2^{72446705464448} 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 72446705464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85048726896000).

72446705464448 is an abundant number, since it is smaller than the sum of its proper divisors (97650748327552).

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

72446705464448 is a wasteful number, since it uses less digits than its factorization.

72446705464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25612 (or 25586 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 65.

The spelling of 72446705464448 in words is "seventy-two trillion, four hundred forty-six billion, seven hundred five million, four hundred sixty-four thousand, four hundred forty-eight".