67528 has 16 divisors (see below), whose sum is σ = 132480. Its totient is φ = 32208.

The previous prime is 67523. The next prime is 67531. The reversal of 67528 is 82576.

67528 is a nontrivial binomial coefficient, being equal to C(368, 2).

It is an Ulam number.

It is a d-powerful number, because it can be written as 6⁴ + 7 + 5⁴ + 2¹⁶ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 67496 and 67505.

It is a congruent number.

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

67528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 367.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁶⁷⁵²⁸ is an apocalyptic number.

67528 is the 367-th triangular number and also the 184-th hexagonal number.

67528 is the 123-rd centered nonagonal number.

It is an amenable number.

67528 is a deficient number, since it is larger than the sum of its proper divisors (64952).

67528 is a wasteful number, since it uses less digits than its factorization.

67528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 67528 is about 259.8615015734. The cubic root of 67528 is about 40.7218933739.

It can be divided in two parts, 675 and 28, that added together give a triangular number (703 = T₃₇).

The spelling of 67528 in words is "sixty-seven thousand, five hundred twenty-eight".