71514 has 24 divisors (see below), whose sum is σ = 161460. Its totient is φ = 22848.

The previous prime is 71503. The next prime is 71527. The reversal of 71514 is 41517.

It can be written as a sum of positive squares in 2 ways, for example, as 71289 + 225 = 267^2 + 15^2 .

It is a super-2 number, since 2×71514² = 10228504392, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71514.

It is an unprimeable number.

71514 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 11 ways as a sum of consecutive naturals, for example, 454 + ... + 590.

2⁷¹⁵¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80730).

71514 is an abundant number, since it is smaller than the sum of its proper divisors (89946).

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

71514 is a wasteful number, since it uses less digits than its factorization.

71514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 71514 is about 267.4210163768. The cubic root of 71514 is about 41.5078612872.

It can be divided in two parts, 715 and 14, that added together give a 6-th power (729 = 3⁶).

The spelling of 71514 in words is "seventy-one thousand, five hundred fourteen".