8072007 has 16 divisors (see below), whose sum is σ = 11002368. Its totient is φ = 5263200.

The previous prime is 8071981. The next prime is 8072027. The reversal of 8072007 is 7002708.

It is not a de Polignac number, because 8072007 - 2¹⁸ = 7809863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46573 + ... + 46745.

It is an arithmetic number, because the mean of its divisors is an integer number (687648).

Almost surely, 2^8072007 is an apocalyptic number.

8072007 is a deficient number, since it is larger than the sum of its proper divisors (2930361).

8072007 is a wasteful number, since it uses less digits than its factorization.

8072007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 8072007 is about 2841.1277690382. The cubic root of 8072007 is about 200.5982669323.

The spelling of 8072007 in words is "eight million, seventy-two thousand, seven".