73626 has 16 divisors (see below), whose sum is σ = 168384. Its totient is φ = 21024.

The previous prime is 73613. The next prime is 73637. The reversal of 73626 is 62637.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73596 and 73605.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73626.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (10524).

2⁷³⁶²⁶ is an apocalyptic number.

73626 is an abundant number, since it is smaller than the sum of its proper divisors (94758).

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 (84192).

73626 is a wasteful number, since it uses less digits than its factorization.

73626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765.

The product of its digits is 1512, while the sum is 24.

The square root of 73626 is about 271.3411137296. The cubic root of 73626 is about 41.9125163155.

The spelling of 73626 in words is "seventy-three thousand, six hundred twenty-six".