71512 has 16 divisors (see below), whose sum is σ = 153360. Its totient is φ = 30624.

The previous prime is 71503. The next prime is 71527. The reversal of 71512 is 21517.

It is a super-2 number, since 2×71512² = 10227932288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

71512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 583 + ... + 694.

It is an arithmetic number, because the mean of its divisors is an integer number (9585).

2⁷¹⁵¹² is an apocalyptic number.

It is an amenable number.

71512 is an abundant number, since it is smaller than the sum of its proper divisors (81848).

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 (76680).

71512 is a wasteful number, since it uses less digits than its factorization.

71512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1286 counting only the distinct ones).

The product of its digits is 70, while the sum is 16.

The square root of 71512 is about 267.4172769288. The cubic root of 71512 is about 41.5074743396.

It can be divided in two parts, 715 and 12, that added together give a palindrome (727).

The spelling of 71512 in words is "seventy-one thousand, five hundred twelve".