712440 has 48 divisors (see below), whose sum is σ = 2316600. Its totient is φ = 189888.

The previous prime is 712433. The next prime is 712447. The reversal of 712440 is 44217.

712440 = 52² + 53² + ... + 131².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (712433) and next prime (712447).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712447) by changing a digit.

712440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630 + ... + 1349.

2⁷¹²⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

712440 is an abundant number, since it is smaller than the sum of its proper divisors (1604160).

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

712440 is a wasteful number, since it uses less digits than its factorization.

712440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 712440 is about 844.0616091258. The cubic root of 712440 is about 89.3132922049.

Adding to 712440 its reverse (44217), we get a palindrome (756657).

The spelling of 712440 in words is "seven hundred twelve thousand, four hundred forty", and thus it is an iban number.