67078125 has 70 divisors (see below), whose sum is σ = 127615554. Its totient is φ = 35100000.

The previous prime is 67078117. The next prime is 67078127. The reversal of 67078125 is 52187076.

It can be written as a sum of positive squares in 7 ways, for example, as 66634569 + 443556 = 8163^2 + 666^2 .

It is not a de Polignac number, because 67078125 - 2³ = 67078117 is a prime.

It is a super-3 number, since 3×67078125³ (a number of 24 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 67078125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67078127) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 1265599 + ... + 1265651.

Almost surely, 2^67078125 is an apocalyptic number.

It is an amenable number.

67078125 is a deficient number, since it is larger than the sum of its proper divisors (60537429).

67078125 is an frugal number, since it uses more digits than its factorization.

67078125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 67078125 is about 8190.1236254406. The cubic root of 67078125 is about 406.3126136233.

The spelling of 67078125 in words is "sixty-seven million, seventy-eight thousand, one hundred twenty-five".