10363872 has 48 divisors (see below), whose sum is σ = 27533520. Its totient is φ = 3412992.

The previous prime is 10363841. The next prime is 10363877. The reversal of 10363872 is 27836301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10363872³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7938 + ... + 9150.

It is an arithmetic number, because the mean of its divisors is an integer number (573615).

Almost surely, 2^10363872 is an apocalyptic number.

10363872 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 10363872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766760).

10363872 is an abundant number, since it is smaller than the sum of its proper divisors (17169648).

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

10363872 is a wasteful number, since it uses less digits than its factorization.

10363872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 10363872 is about 3219.2968176296. The cubic root of 10363872 is about 218.0255279703.

The spelling of 10363872 in words is "ten million, three hundred sixty-three thousand, eight hundred seventy-two".