72822260736 has 165 divisors, whose sum is σ = 217693838109. Its totient is φ = 24248180736.

The previous prime is 72822260723. The next prime is 72822260743. The reversal of 72822260736 is 63706222827.

The square root of 72822260736 is 269856.

It is a perfect power (a square), and thus also a powerful number.

72822260736 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 2 + 2 + 607 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3834086400 + 68988174336 = 61920^2 + 262656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72822260691 and 72822260700.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 77718060 + ... + 77718996.

Almost surely, 2^72822260736 is an apocalyptic number.

72822260736 is the 269856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72822260736

72822260736 is an abundant number, since it is smaller than the sum of its proper divisors (144871577373).

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

72822260736 is an frugal number, since it uses more digits than its factorization.

72822260736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 72822260736 in words is "seventy-two billion, eight hundred twenty-two million, two hundred sixty thousand, seven hundred thirty-six".