75007000 has 64 divisors (see below), whose sum is σ = 177409440. Its totient is φ = 29680000.

The previous prime is 75006991. The next prime is 75007001. The reversal of 75007000 is 70057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75007001) 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, 106650 + ... + 107350.

Almost surely, 2^75007000 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 75007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704720).

75007000 is an abundant number, since it is smaller than the sum of its proper divisors (102402440).

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

75007000 is a wasteful number, since it uses less digits than its factorization.

75007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 19.

The square root of 75007000 is about 8660.6581736032. The cubic root of 75007000 is about 421.7294523064.

Adding to 75007000 its reverse (70057), we get a palindrome (75077057).

The spelling of 75007000 in words is "seventy-five million, seven thousand".