10367072 has 48 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 4945920.

The previous prime is 10367041. The next prime is 10367081. The reversal of 10367072 is 27076301.

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

It is a congruent number.

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, 91688 + ... + 91800.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^10367072 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 10367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

10367072 is an abundant number, since it is smaller than the sum of its proper divisors (11006560).

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

10367072 is a wasteful number, since it uses less digits than its factorization.

10367072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 10367072 is about 3219.7937822165. The cubic root of 10367072 is about 218.0479652054.

The spelling of 10367072 in words is "ten million, three hundred sixty-seven thousand, seventy-two".