10118272 has 32 divisors (see below), whose sum is σ = 20339820. Its totient is φ = 5013504.

The previous prime is 10118263. The next prime is 10118291. The reversal of 10118272 is 27281101.

10118272 = T₁₂₃ + T₁₂₄ + ... + T₃₉₆.

It can be written as a sum of positive squares in 2 ways, for example, as 8620096 + 1498176 = 2936^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17248 + ... + 17824.

Almost surely, 2^10118272 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 10118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169910).

10118272 is an abundant number, since it is smaller than the sum of its proper divisors (10221548).

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

10118272 is an equidigital number, since it uses as much as digits as its factorization.

10118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 10118272 is about 3180.9231364495. The cubic root of 10118272 is about 216.2895066316.

Adding to 10118272 its reverse (27281101), we get a palindrome (37399373).

The spelling of 10118272 in words is "ten million, one hundred eighteen thousand, two hundred seventy-two".