872412 has 12 divisors (see below), whose sum is σ = 2035656. Its totient is φ = 290800.

The previous prime is 872411. The next prime is 872419. The reversal of 872412 is 214278.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×872412² = 1522205395488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36339 + ... + 36362.

It is an arithmetic number, because the mean of its divisors is an integer number (169638).

2⁸⁷²⁴¹² is an apocalyptic number.

It is an amenable number.

872412 is an abundant number, since it is smaller than the sum of its proper divisors (1163244).

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

872412 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 872412 = (247128)₁₃.

872412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72708 (or 72706 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 872412 is about 934.0299781056. The cubic root of 872412 is about 95.5521676182.

The spelling of 872412 in words is "eight hundred seventy-two thousand, four hundred twelve".