10072224 has 72 divisors (see below), whose sum is σ = 29375892. Its totient is φ = 3271680.

The previous prime is 10072207. The next prime is 10072247. The reversal of 10072224 is 42227001.

It can be written as a sum of positive squares in 2 ways, for example, as 7290000 + 2782224 = 2700^2 + 1668^2 .

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

It is a super-3 number, since 3×10072224³ (a number of 22 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10072197 and 10072206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11382 + ... + 12234.

Almost surely, 2^10072224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14687946).

10072224 is an abundant number, since it is smaller than the sum of its proper divisors (19303668).

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

10072224 is a wasteful number, since it uses less digits than its factorization.

10072224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10072224 is about 3173.6767321200. The cubic root of 10072224 is about 215.9608982718.

Adding to 10072224 its reverse (42227001), we get a palindrome (52299225).

It can be divided in two parts, 10072 and 224, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10072224 in words is "ten million, seventy-two thousand, two hundred twenty-four".