71412 has 24 divisors (see below), whose sum is σ = 182112. Its totient is φ = 21600.

The previous prime is 71411. The next prime is 71413. The reversal of 71412 is 21417.

It is an interprime number because it is at equal distance from previous prime (71411) and next prime (71413).

It is a junction number, because it is equal to n+sod(n) for n = 71391 and 71400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (7588).

2⁷¹⁴¹² is an apocalyptic number.

It is an amenable number.

71412 is an abundant number, since it is smaller than the sum of its proper divisors (110700).

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 (91056).

71412 is a wasteful number, since it uses less digits than its factorization.

71412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 71412 is about 267.2302378100. The cubic root of 71412 is about 41.4881177575.

Adding to 71412 its reverse (21417), we get a palindrome (92829).

The spelling of 71412 in words is "seventy-one thousand, four hundred twelve", and thus it is an iban number.