10007472 has 20 divisors (see below), whose sum is σ = 25852760. Its totient is φ = 3335808.

The previous prime is 10007443. The next prime is 10007479. The reversal of 10007472 is 27470001.

It is not an unprimeable number, because it can be changed into a prime (10007479) 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 3 ways as a sum of consecutive naturals, for example, 104197 + ... + 104292.

It is an arithmetic number, because the mean of its divisors is an integer number (1292638).

Almost surely, 2^10007472 is an apocalyptic number.

10007472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10007472 is an abundant number, since it is smaller than the sum of its proper divisors (15845288).

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

10007472 is a wasteful number, since it uses less digits than its factorization.

10007472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208500 (or 208494 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10007472 is about 3163.4588664941. The cubic root of 10007472 is about 215.4971154305.

Adding to 10007472 its reverse (27470001), we get a palindrome (37477473).

The spelling of 10007472 in words is "ten million, seven thousand, four hundred seventy-two".