872416 has 24 divisors (see below), whose sum is σ = 1738800. Its totient is φ = 430848.

The previous prime is 872411. The next prime is 872419. The reversal of 872416 is 614278.

872416 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×872416² = 1522219354112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872411) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4285 + ... + 4483.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

2⁸⁷²⁴¹⁶ is an apocalyptic number.

It is an amenable number.

872416 is a deficient number, since it is larger than the sum of its proper divisors (866384).

872416 is a wasteful number, since it uses less digits than its factorization.

872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 872416 is about 934.0321193621. The cubic root of 872416 is about 95.5523136532.

The spelling of 872416 in words is "eight hundred seventy-two thousand, four hundred sixteen".