72145864064448 has 336 divisors, whose sum is σ = 215360266727424. Its totient is φ = 23946945960960.

The previous prime is 72145864064447. The next prime is 72145864064459. The reversal of 72145864064448 is 84446046854127.

72145864064448 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 586 + 4 + 0 + 6 + 4 + 4 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72145864064447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4885606761 + ... + 4885621527.

It is an arithmetic number, because the mean of its divisors is an integer number (640953174784).

Almost surely, 2^{72145864064448} 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 72145864064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107680133363712).

72145864064448 is an abundant number, since it is smaller than the sum of its proper divisors (143214402662976).

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

72145864064448 is a wasteful number, since it uses less digits than its factorization.

72145864064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16102 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 72145864064448 in words is "seventy-two trillion, one hundred forty-five billion, eight hundred sixty-four million, sixty-four thousand, four hundred forty-eight".