10018272 has 96 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 2961920.

The previous prime is 10018249. The next prime is 10018273. The reversal of 10018272 is 27281001.

10018272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55879 + ... + 56057.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 2^10018272 is an apocalyptic number.

10018272 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 10018272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

10018272 is an abundant number, since it is smaller than the sum of its proper divisors (19375008).

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

10018272 is a wasteful number, since it uses less digits than its factorization.

10018272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10018272 is about 3165.1653985219. The cubic root of 10018272 is about 215.5746085984.

Adding to 10018272 its reverse (27281001), we get a palindrome (37299273).

The spelling of 10018272 in words is "ten million, eighteen thousand, two hundred seventy-two".