73906 has 8 divisors (see below), whose sum is σ = 126720. Its totient is φ = 31668.

The previous prime is 73897. The next prime is 73907. The reversal of 73906 is 60937.

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

It is a plaindrome in base 9.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (73907) by changing a digit.

73906 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, 2626 + ... + 2653.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2⁷³⁹⁰⁶ is an apocalyptic number.

73906 is a deficient number, since it is larger than the sum of its proper divisors (52814).

73906 is a wasteful number, since it uses less digits than its factorization.

73906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 73906 is about 271.8565798358. The cubic root of 73906 is about 41.9655802657.

It can be divided in two parts, 7390 and 6, that added together give a square (7396 = 86²).

The spelling of 73906 in words is "seventy-three thousand, nine hundred six".