501072 has 80 divisors (see below), whose sum is σ = 1541568. Its totient is φ = 138240.

The previous prime is 501043. The next prime is 501077. The reversal of 501072 is 270105.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501077) by changing a digit.

501072 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 15 ways as a sum of consecutive naturals, for example, 6828 + ... + 6900.

2⁵⁰¹⁰⁷² is an apocalyptic number.

501072 is a gapful number since it is divisible by the number (52) 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 501072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770784).

501072 is an abundant number, since it is smaller than the sum of its proper divisors (1040496).

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

501072 is a wasteful number, since it uses less digits than its factorization.

501072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 501072 is about 707.8643937930. The cubic root of 501072 is about 79.4267352394.

Adding to 501072 its reverse (270105), we get a palindrome (771177).

The spelling of 501072 in words is "five hundred one thousand, seventy-two".