712725 has 48 divisors (see below), whose sum is σ = 1374912. Its totient is φ = 322560.

The previous prime is 712717. The next prime is 712739. The reversal of 712725 is 527217.

It is not a de Polignac number, because 712725 - 2³ = 712717 is a prime.

It is a Curzon number.

712725 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 712695 and 712704.

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 712725.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16554 + ... + 16596.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁷¹²⁷²⁵ is an apocalyptic number.

712725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

712725 is a deficient number, since it is larger than the sum of its proper divisors (662187).

712725 is a wasteful number, since it uses less digits than its factorization.

712725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 81 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 712725 is about 844.2304187839. The cubic root of 712725 is about 89.3252000590.

The spelling of 712725 in words is "seven hundred twelve thousand, seven hundred twenty-five".