10345872 has 40 divisors (see below), whose sum is σ = 27134176. Its totient is φ = 3396096.

The previous prime is 10345859. The next prime is 10345879. The reversal of 10345872 is 27854301.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10345879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608 + ... + 4824.

Almost surely, 2^10345872 is an apocalyptic number.

10345872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3216×3217.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567088).

10345872 is an abundant number, since it is smaller than the sum of its proper divisors (16788304).

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

10345872 is a wasteful number, since it uses less digits than its factorization.

10345872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 10345872 is about 3216.4999611379. The cubic root of 10345872 is about 217.8992323895.

The spelling of 10345872 in words is "ten million, three hundred forty-five thousand, eight hundred seventy-two".