10072007 has 8 divisors (see below), whose sum is σ = 11634192. Its totient is φ = 8617600.

The previous prime is 10072001. The next prime is 10072009. The reversal of 10072007 is 70027001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10072007 - 2⁴ = 10071991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26744 + ... + 27117.

It is an arithmetic number, because the mean of its divisors is an integer number (1454274).

Almost surely, 2^10072007 is an apocalyptic number.

10072007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10072007 is a deficient number, since it is larger than the sum of its proper divisors (1562185).

10072007 is a wasteful number, since it uses less digits than its factorization.

10072007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53889.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 10072007 is about 3173.6425444590. The cubic root of 10072007 is about 215.9593473448.

Adding to 10072007 its reverse (70027001), we get a palindrome (80099008).

The spelling of 10072007 in words is "ten million, seventy-two thousand, seven".