10027872 has 36 divisors (see below), whose sum is σ = 28517580. Its totient is φ = 3342528.

The previous prime is 10027867. The next prime is 10027879. The reversal of 10027872 is 27872001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17122 + ... + 17697.

It is an arithmetic number, because the mean of its divisors is an integer number (792155).

Almost surely, 2^10027872 is an apocalyptic number.

10027872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10027872 is an abundant number, since it is smaller than the sum of its proper divisors (18489708).

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

10027872 is a wasteful number, since it uses less digits than its factorization.

10027872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34835 (or 34824 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10027872 is about 3166.6815438247. The cubic root of 10027872 is about 215.6434446730.

Adding to 10027872 its reverse (27872001), we get a palindrome (37899873).

It can be divided in two parts, 100 and 27872, that added together give a palindrome (27972).

The spelling of 10027872 in words is "ten million, twenty-seven thousand, eight hundred seventy-two".