872648181 has 32 divisors (see below), whose sum is σ = 1319472000. Its totient is φ = 569894400.

The previous prime is 872648137. The next prime is 872648191. The reversal of 872648181 is 181846278.

872648181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 872648181 - 2¹⁴ = 872631797 is a prime.

It is a super-2 number, since 2×872648181² = 1523029695605217522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872648111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262870 + ... + 266168.

It is an arithmetic number, because the mean of its divisors is an integer number (41233500).

Almost surely, 2^872648181 is an apocalyptic number.

It is an amenable number.

872648181 is a deficient number, since it is larger than the sum of its proper divisors (446823819).

872648181 is a wasteful number, since it uses less digits than its factorization.

872648181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3500 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 872648181 is about 29540.6191708976. The cubic root of 872648181 is about 955.6078952707.

The spelling of 872648181 in words is "eight hundred seventy-two million, six hundred forty-eight thousand, one hundred eighty-one".