10627072 has 24 divisors (see below), whose sum is σ = 21253050.
Its totient is φ = 5312512.
The previous prime is 10627069. The next prime is 10627073. The reversal of 10627072 is 27072601.
Adding to 10627072 its reverse (27072601), we get a palindrome (37699673).
It can be written as a sum of positive squares in only one way, i.e., 7750656 + 2876416 = 2784^2 + 1696^2
It is a super-2 number, since 2×106270722 = 225869318586368, which contains 22 as substring.
It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (10627073) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 547 + ... + 4642.
Almost surely, 210627072 is an apocalyptic number.
10627072 is the 1743-rd centered heptagonal number.
It is an amenable number.
10627072 is a deficient number, since it is larger than the sum of its proper divisors (10625978).
10627072 is an frugal number, since it uses more digits than its factorization.
10627072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5211 (or 5191 counting only the distinct ones).
The product of its (nonzero) digits is 1176, while the sum is 25.
The square root of 10627072 is about 3259.9190173991.
The cubic root of 10627072 is about 219.8557732376.
The spelling of 10627072 in words is "ten million, six hundred twenty-seven thousand, seventy-two".