71520 has 48 divisors (see below), whose sum is σ = 226800. Its totient is φ = 18944.

The previous prime is 71503. The next prime is 71527. The reversal of 71520 is 2517.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×71520² = 10230220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 71520.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71520.

It is not an unprimeable number, because it can be changed into a prime (71527) by changing a digit.

71520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 406 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁷¹⁵²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

71520 is an abundant number, since it is smaller than the sum of its proper divisors (155280).

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

71520 is a wasteful number, since it uses less digits than its factorization.

71520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 71520 is about 267.4322344071. The cubic root of 71520 is about 41.5090220865.

The spelling of 71520 in words is "seventy-one thousand, five hundred twenty".