71700 has 36 divisors (see below), whose sum is σ = 208320. Its totient is φ = 19040.

The previous prime is 71699. The next prime is 71707. The reversal of 71700 is 717.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 71700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 419.

2⁷¹⁷⁰⁰ 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 71700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

71700 is an abundant number, since it is smaller than the sum of its proper divisors (136620).

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

71700 is a wasteful number, since it uses less digits than its factorization.

71700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 71700 is about 267.7685567799. The cubic root of 71700 is about 41.5438159184.

Multiplying 71700 by its reverse (717), we get a square (51408900 = 7170²).

71700 divided by its reverse (717) gives a square (100 = 10²).

The spelling of 71700 in words is "seventy-one thousand, seven hundred", and thus it is an iban number.