510072 has 32 divisors (see below), whose sum is σ = 1302480. Its totient is φ = 166400.

The previous prime is 510067. The next prime is 510073. The reversal of 510072 is 270015.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510073) 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, 1072 + ... + 1472.

2⁵¹⁰⁰⁷² 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 510072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651240).

510072 is an abundant number, since it is smaller than the sum of its proper divisors (792408).

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

510072 is a wasteful number, since it uses less digits than its factorization.

510072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

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

The square root of 510072 is about 714.1932511583. The cubic root of 510072 is about 79.8994570251.

Adding to 510072 its reverse (270015), we get a palindrome (780087).

The spelling of 510072 in words is "five hundred ten thousand, seventy-two".