403072 has 32 divisors (see below), whose sum is σ = 832320. Its totient is φ = 194304.

The previous prime is 403063. The next prime is 403079. The reversal of 403072 is 270304.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (403079) by changing a digit.

403072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5983 + ... + 6049.

It is an arithmetic number, because the mean of its divisors is an integer number (26010).

2⁴⁰³⁰⁷² 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 403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416160).

403072 is an abundant number, since it is smaller than the sum of its proper divisors (429248).

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

403072 is an equidigital number, since it uses as much as digits as its factorization.

403072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 403072 is about 634.8795161288. The cubic root of 403072 is about 73.8687715619.

Adding to 403072 its reverse (270304), we get a palindrome (673376).

The spelling of 403072 in words is "four hundred three thousand, seventy-two", and thus it is an iban number.