471072 has 48 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 134400.

The previous prime is 471061. The next prime is 471073. The reversal of 471072 is 270174.

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

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471072.

It is not an unprimeable number, because it can be changed into a prime (471073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2⁴⁷¹⁰⁷² is an apocalyptic number.

471072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

471072 is an abundant number, since it is smaller than the sum of its proper divisors (944160).

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

471072 is a wasteful number, since it uses less digits than its factorization.

471072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

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

The square root of 471072 is about 686.3468510892. The cubic root of 471072 is about 77.8088679939.

The spelling of 471072 in words is "four hundred seventy-one thousand, seventy-two", and thus it is an iban number.