10302272 has 42 divisors (see below), whose sum is σ = 21755862. Its totient is φ = 4839424.

The previous prime is 10302269. The next prime is 10302283. The reversal of 10302272 is 27220301.

It can be written as a sum of positive squares in 3 ways, for example, as 1915456 + 8386816 = 1384^2 + 2896^2 .

It is a super-2 number, since 2×10302272² = 212273616723968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10302272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18218 + ... + 18774.

Almost surely, 2^10302272 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 10302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877931).

10302272 is an abundant number, since it is smaller than the sum of its proper divisors (11453590).

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

10302272 is an equidigital number, since it uses as much as digits as its factorization.

10302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 10302272 is about 3209.7152521680. The cubic root of 10302272 is about 217.5927080890.

Adding to 10302272 its reverse (27220301), we get a palindrome (37522573).

The spelling of 10302272 in words is "ten million, three hundred two thousand, two hundred seventy-two".