71628 has 24 divisors (see below), whose sum is σ = 172032. Its totient is φ = 23184.

The previous prime is 71597. The next prime is 71633. The reversal of 71628 is 82617.

It is an Ulam number.

It is a plaindrome in base 13 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 71598 and 71607.

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, 501 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (7168).

2⁷¹⁶²⁸ is an apocalyptic number.

It is an amenable number.

71628 is an abundant number, since it is smaller than the sum of its proper divisors (100404).

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 (86016).

71628 is a wasteful number, since it uses less digits than its factorization.

71628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 71628 is about 267.6340785476. The cubic root of 71628 is about 41.5299053813.

The spelling of 71628 in words is "seventy-one thousand, six hundred twenty-eight".