712512 has 42 divisors (see below), whose sum is σ = 2043938. Its totient is φ = 237312.

The previous prime is 712511. The next prime is 712531. The reversal of 712512 is 215217.

712512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 46656 = 816^2 + 216^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712512.

It is not an unprimeable number, because it can be changed into a prime (712511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43 + ... + 1194.

2⁷¹²⁵¹² is an apocalyptic number.

712512 is a gapful number since it is divisible by the number (72) 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 712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021969).

712512 is an abundant number, since it is smaller than the sum of its proper divisors (1331426).

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

712512 is a wasteful number, since it uses less digits than its factorization.

712512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1242 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 712512 is about 844.1042589633. The cubic root of 712512 is about 89.3163008046.

Adding to 712512 its reverse (215217), we get a palindrome (927729).

It can be divided in two parts, 71251 and 2, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 712512 in words is "seven hundred twelve thousand, five hundred twelve".