816872 has 32 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 337344.

The previous prime is 816869. The next prime is 816883. The reversal of 816872 is 278618.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1373 + ... + 1875.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁸¹⁶⁸⁷² 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 816872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

816872 is an abundant number, since it is smaller than the sum of its proper divisors (997528).

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

816872 is a wasteful number, since it uses less digits than its factorization.

816872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 816872 is about 903.8097144864. The cubic root of 816872 is about 93.4798492421.

The spelling of 816872 in words is "eight hundred sixteen thousand, eight hundred seventy-two".