71190 has 48 divisors (see below), whose sum is σ = 213408. Its totient is φ = 16128.

The previous prime is 71171. The next prime is 71191. The reversal of 71190 is 9117.

It is a super-2 number, since 2×71190² = 10136032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (4446).

2⁷¹¹⁹⁰ is an apocalyptic number.

71190 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106704).

71190 is an abundant number, since it is smaller than the sum of its proper divisors (142218).

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

71190 is a wasteful number, since it uses less digits than its factorization.

71190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 71190 is about 266.8145423323. The cubic root of 71190 is about 41.4450814667.

Adding to 71190 its product of nonzero digits (63), we get a triangular number (71253 = T₃₇₇).

The spelling of 71190 in words is "seventy-one thousand, one hundred ninety".