712125 has 32 divisors (see below), whose sum is σ = 1322880. Its totient is φ = 378000.

The previous prime is 712121. The next prime is 712133. The reversal of 712125 is 521217.

712125 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 712125 - 2² = 712121 is a prime.

712125 is a lucky number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 712098 and 712107.

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 712125.

It is not an unprimeable number, because it can be changed into a prime (712121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3270 + ... + 3480.

It is an arithmetic number, because the mean of its divisors is an integer number (41340).

2⁷¹²¹²⁵ is an apocalyptic number.

712125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

712125 is a deficient number, since it is larger than the sum of its proper divisors (610755).

712125 is a wasteful number, since it uses less digits than its factorization.

712125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

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

The square root of 712125 is about 843.8749907421. The cubic root of 712125 is about 89.3001271971.

It can be divided in two parts, 71212 and 5, that added together give a palindrome (71217).

The spelling of 712125 in words is "seven hundred twelve thousand, one hundred twenty-five".