72781224516 has 1152 divisors, whose sum is σ = 280536023040. Its totient is φ = 15872371200.

The previous prime is 72781224491. The next prime is 72781224521. The reversal of 72781224516 is 61542218727.

72781224516 is a `hidden beast` number, since 7 + 2 + 7 + 8 + 122 + 4 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 573080445 + ... + 573080571.

Almost surely, 2^72781224516 is an apocalyptic number.

72781224516 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72781224516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140268011520).

72781224516 is an abundant number, since it is smaller than the sum of its proper divisors (207754798524).

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

72781224516 is a wasteful number, since it uses less digits than its factorization.

72781224516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 72781224516 in words is "seventy-two billion, seven hundred eighty-one million, two hundred twenty-four thousand, five hundred sixteen".