73506 has 8 divisors (see below), whose sum is σ = 147024. Its totient is φ = 24500.

The previous prime is 73483. The next prime is 73517. The reversal of 73506 is 60537.

It is a sphenic number, since it is the product of 3 distinct primes.

73506 is an admirable number.

It is an unprimeable number.

73506 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6120 + ... + 6131.

It is an arithmetic number, because the mean of its divisors is an integer number (18378).

2⁷³⁵⁰⁶ is an apocalyptic number.

73506 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73512).

73506 is a wasteful number, since it uses less digits than its factorization.

73506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12256.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 73506 is about 271.1198996754. The cubic root of 73506 is about 41.8897334359.

It can be divided in two parts, 7350 and 6, that multiplied together give a square (44100 = 210²).

The spelling of 73506 in words is "seventy-three thousand, five hundred six".