872201088 has 128 divisors (see below), whose sum is σ = 2808345600. Its totient is φ = 264291840.

The previous prime is 872201069. The next prime is 872201117. The reversal of 872201088 is 880102278.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26545 + ... + 49487.

It is an arithmetic number, because the mean of its divisors is an integer number (21940200).

Almost surely, 2^872201088 is an apocalyptic number.

872201088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404172800).

872201088 is an abundant number, since it is smaller than the sum of its proper divisors (1936144512).

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

872201088 is a wasteful number, since it uses less digits than its factorization.

872201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22977 (or 22959 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 872201088 is about 29533.0507736671. The cubic root of 872201088 is about 955.4446685180. Note that the first 3 decimals are identical.

The spelling of 872201088 in words is "eight hundred seventy-two million, two hundred one thousand, eighty-eight".