310072 has 32 divisors (see below), whose sum is σ = 684000. Its totient is φ = 131712.

The previous prime is 310049. The next prime is 310081. The reversal of 310072 is 270013.

It is a super-2 number, since 2×310072² = 192289290368, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

310072 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 7 ways as a sum of consecutive naturals, for example, 2688 + ... + 2800.

It is an arithmetic number, because the mean of its divisors is an integer number (21375).

2³¹⁰⁰⁷² 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 310072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342000).

310072 is an abundant number, since it is smaller than the sum of its proper divisors (373928).

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

310072 is a wasteful number, since it uses less digits than its factorization.

310072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 310072 is about 556.8410904378. The cubic root of 310072 is about 67.6842337796.

Adding to 310072 its reverse (270013), we get a palindrome (580085).

The spelling of 310072 in words is "three hundred ten thousand, seventy-two", and thus it is an iban number.