72461842814448 has 360 divisors, whose sum is σ = 213486905442720. Its totient is φ = 22941352811520.

The previous prime is 72461842814437. The next prime is 72461842814483. The reversal of 72461842814448 is 84441824816427.

It is a happy number.

72461842814448 is a `hidden beast` number, since 7 + 2 + 4 + 6 + 184 + 2 + 8 + 1 + 4 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10023767698 + ... + 10023774926.

Almost surely, 2^{72461842814448} 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 72461842814448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106743452721360).

72461842814448 is an abundant number, since it is smaller than the sum of its proper divisors (141025062628272).

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

72461842814448 is a wasteful number, since it uses less digits than its factorization.

72461842814448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8165 counting only the distinct ones).

The product of its digits is 88080384, while the sum is 63.

The spelling of 72461842814448 in words is "seventy-two trillion, four hundred sixty-one billion, eight hundred forty-two million, eight hundred fourteen thousand, four hundred forty-eight".