73100 has 36 divisors (see below), whose sum is σ = 171864. Its totient is φ = 26880.

The previous prime is 73091. The next prime is 73121. The reversal of 73100 is 137.

It is a super-2 number, since 2×73100² = 10687220000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1679 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (4774).

2⁷³¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932).

73100 is an abundant number, since it is smaller than the sum of its proper divisors (98764).

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

73100 is a wasteful number, since it uses less digits than its factorization.

73100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 73100 is about 270.3701166919. The cubic root of 73100 is about 41.8124669970.

Adding to 73100 its reverse (137), we get a palindrome (73237).

The spelling of 73100 in words is "seventy-three thousand, one hundred", and thus it is an iban number.