72819065448 has 192 divisors, whose sum is σ = 216390720000. Its totient is φ = 22877629632.

The previous prime is 72819065437. The next prime is 72819065533. The reversal of 72819065448 is 84456091827.

It is a happy number.

72819065448 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 90 + 6 + 544 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72819065394 and 72819065403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7345311 + ... + 7355217.

It is an arithmetic number, because the mean of its divisors is an integer number (1127035000).

Almost surely, 2^72819065448 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 72819065448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108195360000).

72819065448 is an abundant number, since it is smaller than the sum of its proper divisors (143571654552).

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

72819065448 is a wasteful number, since it uses less digits than its factorization.

72819065448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 72819065448 in words is "seventy-two billion, eight hundred nineteen million, sixty-five thousand, four hundred forty-eight".