10315072 has 28 divisors (see below), whose sum is σ = 20862036. Its totient is φ = 5058560.

The previous prime is 10315061. The next prime is 10315079. The reversal of 10315072 is 27051301.

It can be written as a sum of positive squares in 2 ways, for example, as 9096256 + 1218816 = 3016^2 + 1104^2 .

It is a super-4 number, since 4×10315072⁴ (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1872 + ... + 4912.

Almost surely, 2^10315072 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 10315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10431018).

10315072 is an abundant number, since it is smaller than the sum of its proper divisors (10546964).

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

10315072 is an equidigital number, since it uses as much as digits as its factorization.

10315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10315072 is about 3211.7085795570. The cubic root of 10315072 is about 217.6827864063.

Adding to 10315072 its reverse (27051301), we get a palindrome (37366373).

The spelling of 10315072 in words is "ten million, three hundred fifteen thousand, seventy-two".