712520 has 32 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 278208.

The previous prime is 712511. The next prime is 712531. The reversal of 712520 is 25217.

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 7 ways as a sum of consecutive naturals, for example, 1691 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2⁷¹²⁵²⁰ 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 712520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

712520 is an abundant number, since it is smaller than the sum of its proper divisors (929080).

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

712520 is a wasteful number, since it uses less digits than its factorization.

712520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 712520 is about 844.1089977011. The cubic root of 712520 is about 89.3166350810.

Adding to 712520 its reverse (25217), we get a palindrome (737737).

The spelling of 712520 in words is "seven hundred twelve thousand, five hundred twenty".