72827763162336 has 2304 divisors, whose sum is σ = 286529560289280. Its totient is φ = 17803392122880.

The previous prime is 72827763162317. The next prime is 72827763162391. The reversal of 72827763162336 is 63326136772827.

72827763162336 is a `hidden beast` number, since 7 + 2 + 82 + 7 + 7 + 6 + 316 + 233 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38882947896 + ... + 38882949768.

It is an arithmetic number, because the mean of its divisors is an integer number (124361788320).

Almost surely, 2^{72827763162336} 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 72827763162336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143264780144640).

72827763162336 is an abundant number, since it is smaller than the sum of its proper divisors (213701797126944).

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

72827763162336 is a wasteful number, since it uses less digits than its factorization.

72827763162336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2025 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 63.

The spelling of 72827763162336 in words is "seventy-two trillion, eight hundred twenty-seven billion, seven hundred sixty-three million, one hundred sixty-two thousand, three hundred thirty-six".