10267392 has 72 divisors (see below), whose sum is σ = 28329840. Its totient is φ = 3297280.

The previous prime is 10267373. The next prime is 10267403. The reversal of 10267392 is 29376201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22042 + ... + 22502.

It is an arithmetic number, because the mean of its divisors is an integer number (393470).

Almost surely, 2^10267392 is an apocalyptic number.

10267392 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 10267392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164920).

10267392 is an abundant number, since it is smaller than the sum of its proper divisors (18062448).

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

10267392 is an equidigital number, since it uses as much as digits as its factorization.

10267392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 10267392 is about 3204.2771415719. The cubic root of 10267392 is about 217.3468653883.

The spelling of 10267392 in words is "ten million, two hundred sixty-seven thousand, three hundred ninety-two".