75082007 has 32 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 53424000.

The previous prime is 75081997. The next prime is 75082027. The reversal of 75082007 is 70028057.

It is not a de Polignac number, because 75082007 - 2⁶ = 75081943 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75082027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106757 + ... + 107457.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2^75082007 is an apocalyptic number.

75082007 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

75082007 is a deficient number, since it is larger than the sum of its proper divisors (26814697).

75082007 is a wasteful number, since it uses less digits than its factorization.

75082007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 75082007 is about 8664.9874206487. The cubic root of 75082007 is about 421.8699819577.

The spelling of 75082007 in words is "seventy-five million, eighty-two thousand, seven".