872727771601 has 27 divisors (see below), whose sum is σ = 1020851420337. Its totient is φ = 743921347680.

The previous prime is 872727771599. The next prime is 872727771613. The reversal of 872727771601 is 106177727278.

The square root of 872727771601 is 934199.

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

872727771601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 792625187025 + 80102584576 = 890295^2 + 283024^2 .

It is not a de Polignac number, because 872727771601 - 2¹ = 872727771599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (872727711601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2072987371 + ... + 2072987791.

Almost surely, 2^872727771601 is an apocalyptic number.

872727771601 is the 934199-th square number.

872727771601 is the 467100-th centered octagonal number.

It is an amenable number.

872727771601 is a deficient number, since it is larger than the sum of its proper divisors (148123648736).

872727771601 is an frugal number, since it uses more digits than its factorization.

872727771601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 55.

The spelling of 872727771601 in words is "eight hundred seventy-two billion, seven hundred twenty-seven million, seven hundred seventy-one thousand, six hundred one".