712224 has 36 divisors (see below), whose sum is σ = 2026206. Its totient is φ = 237312.

The previous prime is 712219. The next prime is 712237. The reversal of 712224 is 422217.

It can be written as a sum of positive squares in only one way, i.e., 535824 + 176400 = 732^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 712197 and 712206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 949 + ... + 1524.

2⁷¹²²²⁴ is an apocalyptic number.

It is an amenable number.

712224 is an abundant number, since it is smaller than the sum of its proper divisors (1313982).

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

712224 is a wasteful number, since it uses less digits than its factorization.

712224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2478 counting only the distinct ones).

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

The square root of 712224 is about 843.9336466808. The cubic root of 712224 is about 89.3042651892.

The spelling of 712224 in words is "seven hundred twelve thousand, two hundred twenty-four", and thus it is an iban number.