67525 has 12 divisors (see below), whose sum is σ = 87172. Its totient is φ = 51840.

The previous prime is 67523. The next prime is 67531. The reversal of 67525 is 52576.

67525 = T₁ + T₂ + ... + T₇₃.

It is a happy number.

67525 is a nontrivial binomial coefficient, being equal to C(75, 3).

It can be written as a sum of positive squares in 6 ways, for example, as 961 + 66564 = 31^2 + 258^2 .

It is not a de Polignac number, because 67525 - 2¹ = 67523 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

67525 is a Rhonda number in base 14.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 67525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67523) by changing a digit.

It is the 73-rd tetrahedral number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 889 + ... + 961.

2⁶⁷⁵²⁵ is an apocalyptic number.

It is an amenable number.

67525 is a deficient number, since it is larger than the sum of its proper divisors (19647).

67525 is a wasteful number, since it uses less digits than its factorization.

67525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 115 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The square root of 67525 is about 259.8557292037. The cubic root of 67525 is about 40.7212903278.

67525 divided by its sum of digits (25) gives a triangular number (2701 = T₇₃).

It can be divided in two parts, 6 and 7525, that multiplied together give a triangular number (45150 = T₃₀₀).

The spelling of 67525 in words is "sixty-seven thousand, five hundred twenty-five".