72826239616704 has 1680 divisors, whose sum is σ = 260505906569568. Its totient is φ = 20131528015872.

The previous prime is 72826239616699. The next prime is 72826239616717. The reversal of 72826239616704 is 40761693262827.

72826239616704 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 6 + 2 + 3 + 9 + 616 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×72826239616704² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 369676343134 + ... + 369676343330.

Almost surely, 2^{72826239616704} 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 72826239616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130252953284784).

72826239616704 is an abundant number, since it is smaller than the sum of its proper divisors (187679666952864).

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

72826239616704 is an equidigital number, since it uses as much as digits as its factorization.

72826239616704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 72826239616704 in words is "seventy-two trillion, eight hundred twenty-six billion, two hundred thirty-nine million, six hundred sixteen thousand, seven hundred four".