73535 has 16 divisors (see below), whose sum is σ = 110592. Its totient is φ = 45600.

The previous prime is 73529. The next prime is 73547. The reversal of 73535 is 53537.

73535 = T₁₆₉ + T₁₇₀ + ... + T₁₇₃.

It is not a de Polignac number, because 73535 - 2⁶ = 73471 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 73535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

2⁷³⁵³⁵ is an apocalyptic number.

73535 is a deficient number, since it is larger than the sum of its proper divisors (37057).

73535 is a wasteful number, since it uses less digits than its factorization.

73535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its digits is 1575, while the sum is 23.

The square root of 73535 is about 271.1733762743. The cubic root of 73535 is about 41.8952415692.

The spelling of 73535 in words is "seventy-three thousand, five hundred thirty-five".