10479872 has 72 divisors (see below), whose sum is σ = 23350656. Its totient is φ = 4663296.

The previous prime is 10479863. The next prime is 10479877. The reversal of 10479872 is 27897401.

It is not an unprimeable number, because it can be changed into a prime (10479877) 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, 156383 + ... + 156449.

Almost surely, 2^10479872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675328).

10479872 is an abundant number, since it is smaller than the sum of its proper divisors (12870784).

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

10479872 is an equidigital number, since it uses as much as digits as its factorization.

10479872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 10479872 is about 3237.2630415213. The cubic root of 10479872 is about 218.8359453303.

The spelling of 10479872 in words is "ten million, four hundred seventy-nine thousand, eight hundred seventy-two".