10075392 has 54 divisors (see below), whose sum is σ = 29056482. Its totient is φ = 3357696.

The previous prime is 10075379. The next prime is 10075409. The reversal of 10075392 is 29357001.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 1218816 = 2976^2 + 1104^2 .

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, 118 + ... + 4490.

It is an arithmetic number, because the mean of its divisors is an integer number (538083).

Almost surely, 2^10075392 is an apocalyptic number.

10075392 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 10075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528241).

10075392 is an abundant number, since it is smaller than the sum of its proper divisors (18981090).

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

10075392 is an equidigital number, since it uses as much as digits as its factorization.

10075392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10075392 is about 3174.1757985342. The cubic root of 10075392 is about 215.9835378400.

The spelling of 10075392 in words is "ten million, seventy-five thousand, three hundred ninety-two".