71472 has 20 divisors (see below), whose sum is σ = 184760. Its totient is φ = 23808.

The previous prime is 71471. The next prime is 71473. The reversal of 71472 is 27417.

It is an interprime number because it is at equal distance from previous prime (71471) and next prime (71473).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (71471) 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, 697 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (9238).

2⁷¹⁴⁷² is an apocalyptic number.

It is an amenable number.

71472 is an abundant number, since it is smaller than the sum of its proper divisors (113288).

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 (92380).

71472 is a wasteful number, since it uses less digits than its factorization.

71472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 71472 is about 267.3424769841. The cubic root of 71472 is about 41.4997338736.

Adding to 71472 its reverse (27417), we get a palindrome (98889).

The spelling of 71472 in words is "seventy-one thousand, four hundred seventy-two", and thus it is an iban number.