71872821550656 has 1155 divisors, whose sum is σ = 252409046451281. Its totient is φ = 20304360502272.

The previous prime is 71872821550633. The next prime is 71872821550697. The reversal of 71872821550656 is 65605512827817.

It is a happy number.

The square root of 71872821550656 is 8477784.

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

71872821550656 is a `hidden beast` number, since 7 + 1 + 8 + 7 + 2 + 8 + 21 + 550 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13801106120256 + 58071715430400 = 3714984^2 + 7620480^2 .

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71872821550593 and 71872821550602.

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 807559792660 + ... + 807559792748.

Almost surely, 2^{71872821550656} is an apocalyptic number.

71872821550656 is the 8477784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71872821550656

71872821550656 is an abundant number, since it is smaller than the sum of its proper divisors (180536224900625).

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

71872821550656 is an frugal number, since it uses more digits than its factorization.

71872821550656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 71872821550656 in words is "seventy-one trillion, eight hundred seventy-two billion, eight hundred twenty-one million, five hundred fifty thousand, six hundred fifty-six".