10075248 has 120 divisors (see below), whose sum is σ = 30382976. Its totient is φ = 3110400.

The previous prime is 10075229. The next prime is 10075297. The reversal of 10075248 is 84257001.

10075248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165138 + ... + 165198.

Almost surely, 2^10075248 is an apocalyptic number.

10075248 is a gapful number since it is divisible by the number (18) 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 10075248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191488).

10075248 is an abundant number, since it is smaller than the sum of its proper divisors (20307728).

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

10075248 is a wasteful number, since it uses less digits than its factorization.

10075248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10075248 is about 3174.1531153994. The cubic root of 10075248 is about 215.9825088717.

The spelling of 10075248 in words is "ten million, seventy-five thousand, two hundred forty-eight".