71900 has 18 divisors (see below), whose sum is σ = 156240. Its totient is φ = 28720.

The previous prime is 71899. The next prime is 71909. The reversal of 71900 is 917.

71900 = T₆₃ + T₆₄ + ... + T₈₇.

It is a super-2 number, since 2×71900² = 10339220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2⁷¹⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

71900 is an abundant number, since it is smaller than the sum of its proper divisors (84340).

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

71900 is a wasteful number, since it uses less digits than its factorization.

71900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 71900 is about 268.1417535558. The cubic root of 71900 is about 41.5824075021.

Adding to 71900 its sum of digits (17), we get a palindrome (71917).

The spelling of 71900 in words is "seventy-one thousand, nine hundred".