712416 has 48 divisors (see below), whose sum is σ = 1926288. Its totient is φ = 230400.

The previous prime is 712409. The next prime is 712417. The reversal of 712416 is 614217.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 712392 and 712401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712417) 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 7 ways as a sum of consecutive naturals, for example, 3846 + ... + 4026.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2⁷¹²⁴¹⁶ 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 712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963144).

712416 is an abundant number, since it is smaller than the sum of its proper divisors (1213872).

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

712416 is a wasteful number, since it uses less digits than its factorization.

712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 712416 is about 844.0473920344. The cubic root of 712416 is about 89.3122892932.

It can be divided in two parts, 7124 and 16, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 712416 in words is "seven hundred twelve thousand, four hundred sixteen".