10003572 has 36 divisors (see below), whose sum is σ = 25405380. Its totient is φ = 3318912.

The previous prime is 10003571. The next prime is 10003583. The reversal of 10003572 is 27530001.

10003572 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 5363856 + 4639716 = 2316^2 + 2154^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003571) 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, 9168 + ... + 10200.

It is an arithmetic number, because the mean of its divisors is an integer number (705705).

Almost surely, 2^10003572 is an apocalyptic number.

10003572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003572 is an abundant number, since it is smaller than the sum of its proper divisors (15401808).

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

10003572 is a wasteful number, since it uses less digits than its factorization.

10003572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10003572 is about 3162.8423925324. The cubic root of 10003572 is about 215.4691180852.

Adding to 10003572 its reverse (27530001), we get a palindrome (37533573).

The spelling of 10003572 in words is "ten million, three thousand, five hundred seventy-two".