712368 has 80 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 221184.

The previous prime is 712357. The next prime is 712409. The reversal of 712368 is 863217.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 7296 + ... + 7392.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁷¹²³⁶⁸ 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 712368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

712368 is an abundant number, since it is smaller than the sum of its proper divisors (1474992).

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

712368 is a wasteful number, since it uses less digits than its factorization.

712368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 712368 is about 844.0189571331. The cubic root of 712368 is about 89.3102834024.

The spelling of 712368 in words is "seven hundred twelve thousand, three hundred sixty-eight".