10412072 has 32 divisors (see below), whose sum is σ = 21448800. Its totient is φ = 4699200.

The previous prime is 10412053. The next prime is 10412081. The reversal of 10412072 is 27021401.

It is a super-2 number, since 2×10412072² = 216822486666368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10412072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15422 + ... + 16082.

It is an arithmetic number, because the mean of its divisors is an integer number (670275).

Almost surely, 2^10412072 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 10412072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724400).

10412072 is an abundant number, since it is smaller than the sum of its proper divisors (11036728).

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

10412072 is a wasteful number, since it uses less digits than its factorization.

10412072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 10412072 is about 3226.7742406310. The cubic root of 10412072 is about 218.3630009734.

Adding to 10412072 its reverse (27021401), we get a palindrome (37433473).

It can be divided in two parts, 1041 and 2072, that added together give a palindrome (3113).

The spelling of 10412072 in words is "ten million, four hundred twelve thousand, seventy-two".