47472 has 40 divisors (see below), whose sum is σ = 130944. Its totient is φ = 14784.

The previous prime is 47459. The next prime is 47491. The reversal of 47472 is 27474.

47472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 1125.

2⁴⁷⁴⁷² 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 47472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472).

47472 is an abundant number, since it is smaller than the sum of its proper divisors (83472).

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

47472 is a wasteful number, since it uses less digits than its factorization.

47472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its digits is 1568, while the sum is 24.

The square root of 47472 is about 217.8807013023. The cubic root of 47472 is about 36.2086647350.

The spelling of 47472 in words is "forty-seven thousand, four hundred seventy-two", and thus it is an iban number.