67528125 has 90 divisors (see below), whose sum is σ = 142229178. Its totient is φ = 30870000.

The previous prime is 67528117. The next prime is 67528133. The reversal of 67528125 is 52182576.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

67528125 is a `hidden beast` number, since 6 + 7 + 528 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (67528117) and next prime (67528133).

It can be written as a sum of positive squares in 3 ways, for example, as 31203396 + 36324729 = 5586^2 + 6027^2 .

It is not a de Polignac number, because 67528125 - 2³ = 67528117 is a prime.

Its product of digits (33600) is a multiple of the sum of its prime divisors (15).

It is a self number, because there is not a number n which added to its sum of digits gives 67528125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9646872 + ... + 9646878.

Almost surely, 2^67528125 is an apocalyptic number.

It is an amenable number.

67528125 is an abundant number, since it is smaller than the sum of its proper divisors (74701053).

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

67528125 is an frugal number, since it uses more digits than its factorization.

67528125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 15 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 67528125 is about 8217.5498173117. The cubic root of 67528125 is about 407.2191850038.

The spelling of 67528125 in words is "sixty-seven million, five hundred twenty-eight thousand, one hundred twenty-five".