10279872 has 84 divisors (see below), whose sum is σ = 30602936. Its totient is φ = 3421440.

The previous prime is 10279861. The next prime is 10279909. The reversal of 10279872 is 27897201.

10279872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15222 + ... + 15882.

Almost surely, 2^10279872 is an apocalyptic number.

10279872 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 10279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301468).

10279872 is an abundant number, since it is smaller than the sum of its proper divisors (20323064).

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

10279872 is an frugal number, since it uses more digits than its factorization.

10279872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10279872 is about 3206.2239472626. The cubic root of 10279872 is about 217.4348913321.

The spelling of 10279872 in words is "ten million, two hundred seventy-nine thousand, eight hundred seventy-two".