424072 has 32 divisors (see below), whose sum is σ = 892800. Its totient is φ = 187200.

The previous prime is 424037. The next prime is 424079. The reversal of 424072 is 270424.

It is a super-2 number, since 2×424072² = 359674122368, which contains 22 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (424079) 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, 5329 + ... + 5407.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁴²⁴⁰⁷² 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 424072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

424072 is an abundant number, since it is smaller than the sum of its proper divisors (468728).

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

424072 is a wasteful number, since it uses less digits than its factorization.

424072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 424072 is about 651.2081080576. The cubic root of 424072 is about 75.1299672427.

Adding to 424072 its reverse (270424), we get a palindrome (694496).

It can be divided in two parts, 42 and 4072, that added together give a palindrome (4114).

The spelling of 424072 in words is "four hundred twenty-four thousand, seventy-two", and thus it is an iban number.