10467072 has 216 divisors, whose sum is σ = 38263680. Its totient is φ = 2672640.

The previous prime is 10467029. The next prime is 10467073. The reversal of 10467072 is 27076401.

10467072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10467073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177379 + ... + 177437.

Almost surely, 2^10467072 is an apocalyptic number.

10467072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

10467072 is an abundant number, since it is smaller than the sum of its proper divisors (27796608).

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

10467072 is a wasteful number, since it uses less digits than its factorization.

10467072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10467072 is about 3235.2854588119. The cubic root of 10467072 is about 218.7468144298.

It can be divided in two parts, 1046 and 7072, that added together give a palindrome (8118).

The spelling of 10467072 in words is "ten million, four hundred sixty-seven thousand, seventy-two".