73010 has 24 divisors (see below), whose sum is σ = 153900. Its totient is φ = 24864.

The previous prime is 73009. The next prime is 73013. The reversal of 73010 is 1037.

73010 = 155² + 156² + 157².

It can be written as a sum of positive squares in 2 ways, for example, as 67081 + 5929 = 259^2 + 77^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72982 and 73000.

It is not an unprimeable number, because it can be changed into a prime (73013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416 + ... + 564.

2⁷³⁰¹⁰ is an apocalyptic number.

73010 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73010 is an abundant number, since it is smaller than the sum of its proper divisors (80890).

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 (76950).

73010 is a wasteful number, since it uses less digits than its factorization.

73010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 163 counting only the distinct ones).

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

The square root of 73010 is about 270.2036269187. The cubic root of 73010 is about 41.7953002507.

Adding to 73010 its reverse (1037), we get a palindrome (74047).

The spelling of 73010 in words is "seventy-three thousand, ten", and thus it is an iban number.