71370 has 48 divisors (see below), whose sum is σ = 203112. Its totient is φ = 17280.

The previous prime is 71363. The next prime is 71387. The reversal of 71370 is 7317.

71370 = 68² + 69² + ... + 80².

71370 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 23409 + 47961 = 153^2 + 219^2 .

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 71370.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140 + ... + 1200.

2⁷¹³⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

71370 is an abundant number, since it is smaller than the sum of its proper divisors (131742).

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

71370 is a wasteful number, since it uses less digits than its factorization.

71370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 71370 is about 267.1516423307. The cubic root of 71370 is about 41.4799826044.

Adding to 71370 its product of nonzero digits (147), we get a palindrome (71517).

Adding to 71370 its reverse (7317), we get a palindrome (78687).

It can be divided in two parts, 71 and 370, that added together give a square (441 = 21²).

The spelling of 71370 in words is "seventy-one thousand, three hundred seventy", and thus it is an iban number.