872368 has 20 divisors (see below), whose sum is σ = 1931920. Its totient is φ = 373824.

The previous prime is 872353. The next prime is 872369. The reversal of 872368 is 863278.

It is a happy number.

It is a super-2 number, since 2×872368² = 1522051854848, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8 + 7⁷ + 3⁸ + 2¹³ + 6⁴ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (872369) 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, 3783 + ... + 4006.

It is an arithmetic number, because the mean of its divisors is an integer number (96596).

2⁸⁷²³⁶⁸ is an apocalyptic number.

It is an amenable number.

872368 is an abundant number, since it is smaller than the sum of its proper divisors (1059552).

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

872368 is a wasteful number, since it uses less digits than its factorization.

872368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 7798 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 872368 is about 934.0064239608. The cubic root of 872368 is about 95.5505612036.

The spelling of 872368 in words is "eight hundred seventy-two thousand, three hundred sixty-eight".