10407072 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3087360.

The previous prime is 10407031. The next prime is 10407097. The reversal of 10407072 is 27070401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10407072² = 216614295226368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38554 + ... + 38822.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^10407072 is an apocalyptic number.

10407072 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 10407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

10407072 is an abundant number, since it is smaller than the sum of its proper divisors (20074848).

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

10407072 is a wasteful number, since it uses less digits than its factorization.

10407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10407072 is about 3225.9993800371. Note that the first 3 decimals coincide. The cubic root of 10407072 is about 218.3280418792.

Adding to 10407072 its reverse (27070401), we get a palindrome (37477473).

The spelling of 10407072 in words is "ten million, four hundred seven thousand, seventy-two".