72783411456 has 432 divisors, whose sum is σ = 230913263616. Its totient is φ = 20288765952.

The previous prime is 72783411451. The next prime is 72783411457. The reversal of 72783411456 is 65411438727.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72783411451) 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, 463588530 + ... + 463588686.

Almost surely, 2^72783411456 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 72783411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115456631808).

72783411456 is an abundant number, since it is smaller than the sum of its proper divisors (158129852160).

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

72783411456 is a wasteful number, since it uses less digits than its factorization.

72783411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 72783411456 in words is "seventy-two billion, seven hundred eighty-three million, four hundred eleven thousand, four hundred fifty-six".