10013472 has 72 divisors (see below), whose sum is σ = 32550336. Its totient is φ = 2860416.

The previous prime is 10013461. The next prime is 10013473. The reversal of 10013472 is 27431001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10013473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (452088).

Almost surely, 2^10013472 is an apocalyptic number.

10013472 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 10013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275168).

10013472 is an abundant number, since it is smaller than the sum of its proper divisors (22536864).

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

10013472 is a wasteful number, since it uses less digits than its factorization.

10013472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10013472 is about 3164.4070534620. The cubic root of 10013472 is about 215.5401740696.

Adding to 10013472 its reverse (27431001), we get a palindrome (37444473).

The spelling of 10013472 in words is "ten million, thirteen thousand, four hundred seventy-two".