67712125 has 16 divisors (see below), whose sum is σ = 91007280. Its totient is φ = 50001600.

The previous prime is 67712123. The next prime is 67712131. The reversal of 67712125 is 52121776.

It can be written as a sum of positive squares in 8 ways, for example, as 47623801 + 20088324 = 6901^2 + 4482^2 .

It is not a de Polignac number, because 67712125 - 2¹ = 67712123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67712123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19210 + ... + 22459.

It is an arithmetic number, because the mean of its divisors is an integer number (5687955).

Almost surely, 2^67712125 is an apocalyptic number.

67712125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67712125 is a deficient number, since it is larger than the sum of its proper divisors (23295155).

67712125 is a wasteful number, since it uses less digits than its factorization.

67712125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41697 (or 41687 counting only the distinct ones).

The product of its digits is 5880, while the sum is 31.

The square root of 67712125 is about 8228.7377525353. The cubic root of 67712125 is about 407.5887119143.

The spelling of 67712125 in words is "sixty-seven million, seven hundred twelve thousand, one hundred twenty-five".