872191320 has 512 divisors, whose sum is σ = 3605575680. Its totient is φ = 162938880.

The previous prime is 872191297. The next prime is 872191339. The reversal of 872191320 is 23191278.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 6366292 + ... + 6366428.

It is an arithmetic number, because the mean of its divisors is an integer number (7042140).

Almost surely, 2^872191320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872191320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802787840).

872191320 is an abundant number, since it is smaller than the sum of its proper divisors (2733384360).

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

872191320 is a wasteful number, since it uses less digits than its factorization.

872191320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 872191320 is about 29532.8853991614. The cubic root of 872191320 is about 955.4411017494.

The spelling of 872191320 in words is "eight hundred seventy-two million, one hundred ninety-one thousand, three hundred twenty".