457072 has 60 divisors (see below), whose sum is σ = 1145016. Its totient is φ = 174720.

The previous prime is 457057. The next prime is 457087. The reversal of 457072 is 270754.

It is an interprime number because it is at equal distance from previous prime (457057) and next prime (457087).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8598 + ... + 8650.

2⁴⁵⁷⁰⁷² 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 457072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572508).

457072 is an abundant number, since it is smaller than the sum of its proper divisors (687944).

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

457072 is a wasteful number, since it uses less digits than its factorization.

457072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 457072 is about 676.0710021884. The cubic root of 457072 is about 77.0302911125.

It can be divided in two parts, 45 and 7072, that added together give a palindrome (7117).

The spelling of 457072 in words is "four hundred fifty-seven thousand, seventy-two".