71504 has 20 divisors (see below), whose sum is σ = 143220. Its totient is φ = 34560.

The previous prime is 71503. The next prime is 71527. The reversal of 71504 is 40517.

71504 = 17³ + 18³ + ... + 24³.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 48400 = 152^2 + 220^2 .

It is a super-2 number, since 2×71504² = 10225644032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71503) 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 3 ways as a sum of consecutive naturals, for example, 602 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (7161).

2⁷¹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

71504 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (71610).

71504 is a wasteful number, since it uses less digits than its factorization.

71504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 71504 is about 267.4023186137. The cubic root of 71504 is about 41.5059264774.

It can be divided in two parts, 71 and 504, that added together give a palindrome (575).

The spelling of 71504 in words is "seventy-one thousand, five hundred four".