73521 has 16 divisors (see below), whose sum is σ = 124800. Its totient is φ = 41904.

The previous prime is 73517. The next prime is 73523. The reversal of 73521 is 12537.

It is not a de Polignac number, because 73521 - 2² = 73517 is a prime.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 73494 and 73503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2⁷³⁵²¹ is an apocalyptic number.

It is an amenable number.

73521 is a deficient number, since it is larger than the sum of its proper divisors (51279).

73521 is a wasteful number, since it uses less digits than its factorization.

73521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 73521 is about 271.1475613020. The cubic root of 73521 is about 41.8925826512.

The spelling of 73521 in words is "seventy-three thousand, five hundred twenty-one".