72471 has 24 divisors (see below), whose sum is σ = 123120. Its totient is φ = 37632.

The previous prime is 72469. The next prime is 72481. The reversal of 72471 is 17427.

It is not a de Polignac number, because 72471 - 2¹ = 72469 is a prime.

It is a super-3 number, since 3×72471³ = 1141863042429333, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (392) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2485 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁷²⁴⁷¹ is an apocalyptic number.

72471 is a deficient number, since it is larger than the sum of its proper divisors (50649).

72471 is a wasteful number, since it uses less digits than its factorization.

72471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 56 counting only the distinct ones).

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

The square root of 72471 is about 269.2043833224. The cubic root of 72471 is about 41.6921941349.

Adding to 72471 its reverse (17427), we get a palindrome (89898).

The spelling of 72471 in words is "seventy-two thousand, four hundred seventy-one", and thus it is an iban number.