72776282518368 has 1152 divisors, whose sum is σ = 257331294904320. Its totient is φ = 19202672885760.

The previous prime is 72776282518367. The next prime is 72776282518411. The reversal of 72776282518368 is 86381528267727.

72776282518368 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 6 + 2 + 8 + 251 + 8 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72776282518296 and 72776282518305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72776282518367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54842714121 + ... + 54842715447.

It is an arithmetic number, because the mean of its divisors is an integer number (223377860160).

Almost surely, 2^{72776282518368} is an apocalyptic number.

72776282518368 is a gapful number since it is divisible by the number (78) 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 72776282518368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128665647452160).

72776282518368 is an abundant number, since it is smaller than the sum of its proper divisors (184555012385952).

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

72776282518368 is a wasteful number, since it uses less digits than its factorization.

72776282518368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2409 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 72776282518368 in words is "seventy-two trillion, seven hundred seventy-six billion, two hundred eighty-two million, five hundred eighteen thousand, three hundred sixty-eight".