10235072 has 42 divisors (see below), whose sum is σ = 21483828. Its totient is φ = 4837248.

The previous prime is 10235063. The next prime is 10235077. The reversal of 10235072 is 27053201.

It is not an unprimeable number, because it can be changed into a prime (10235077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22883 + ... + 23325.

Almost surely, 2^10235072 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 10235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741914).

10235072 is an abundant number, since it is smaller than the sum of its proper divisors (11248756).

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

10235072 is an equidigital number, since it uses as much as digits as its factorization.

10235072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 10235072 is about 3199.2299073371. The cubic root of 10235072 is about 217.1185687119.

Adding to 10235072 its reverse (27053201), we get a palindrome (37288273).

The spelling of 10235072 in words is "ten million, two hundred thirty-five thousand, seventy-two".