72448746451416 has 448 divisors, whose sum is σ = 212672574959040. Its totient is φ = 23107037184000.

The previous prime is 72448746451381. The next prime is 72448746451423. The reversal of 72448746451416 is 61415464784427.

72448746451416 is a `hidden beast` number, since 7 + 2 + 4 + 4 + 87 + 464 + 51 + 41 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5148791661 + ... + 5148805731.

It is an arithmetic number, because the mean of its divisors is an integer number (474715569105).

Almost surely, 2^{72448746451416} 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 72448746451416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106336287479520).

72448746451416 is an abundant number, since it is smaller than the sum of its proper divisors (140223828507624).

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

72448746451416 is a wasteful number, since it uses less digits than its factorization.

72448746451416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14550 (or 14531 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 72448746451416 in words is "seventy-two trillion, four hundred forty-eight billion, seven hundred forty-six million, four hundred fifty-one thousand, four hundred sixteen".