10503072 has 36 divisors (see below), whose sum is σ = 29868930. Its totient is φ = 3500928.

The previous prime is 10503071. The next prime is 10503089. The reversal of 10503072 is 27030501.

It can be written as a sum of positive squares in only one way, i.e., 9511056 + 992016 = 3084^2 + 996^2 .

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

It is a super-2 number, since 2×10503072² = 220629042874368, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10503071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17947 + ... + 18522.

Almost surely, 2^10503072 is an apocalyptic number.

10503072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10503072 is an abundant number, since it is smaller than the sum of its proper divisors (19365858).

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

10503072 is a wasteful number, since it uses less digits than its factorization.

10503072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36485 (or 36474 counting only the distinct ones).

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

The square root of 10503072 is about 3240.8443344289. The cubic root of 10503072 is about 218.9973102816.

Adding to 10503072 its reverse (27030501), we get a palindrome (37533573).

The spelling of 10503072 in words is "ten million, five hundred three thousand, seventy-two".