712576 has 32 divisors (see below), whose sum is σ = 1499400. Its totient is φ = 336384.

The previous prime is 712573. The next prime is 712601. The reversal of 712576 is 675217.

712576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-5 number, since 5×712576⁵ (a number of 30 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2286 + ... + 2578.

2⁷¹²⁵⁷⁶ is an apocalyptic number.

712576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749700).

712576 is an abundant number, since it is smaller than the sum of its proper divisors (786824).

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

712576 is a wasteful number, since it uses less digits than its factorization.

712576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 712576 is about 844.1421681210. The cubic root of 712576 is about 89.3189749454.

The spelling of 712576 in words is "seven hundred twelve thousand, five hundred seventy-six".