10294272 has 66 divisors (see below), whose sum is σ = 29751098. Its totient is φ = 3428352.

The previous prime is 10294267. The next prime is 10294279. The reversal of 10294272 is 27249201.

It can be written as a sum of positive squares in only one way, i.e., 6230016 + 4064256 = 2496^2 + 2016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10294279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8658 + ... + 9774.

Almost surely, 2^10294272 is an apocalyptic number.

10294272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875549).

10294272 is an abundant number, since it is smaller than the sum of its proper divisors (19456826).

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

10294272 is a wasteful number, since it uses less digits than its factorization.

10294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10294272 is about 3208.4687936771. The cubic root of 10294272 is about 217.5363712461.

The spelling of 10294272 in words is "ten million, two hundred ninety-four thousand, two hundred seventy-two".