75506607 has 64 divisors (see below), whose sum is σ = 129024000. Its totient is φ = 43221600.

The previous prime is 75506579. The next prime is 75506611. The reversal of 75506607 is 70660557.

It is not a de Polignac number, because 75506607 - 2⁷ = 75506479 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75506617) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 543144 + ... + 543282.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^75506607 is an apocalyptic number.

75506607 is a deficient number, since it is larger than the sum of its proper divisors (53517393).

75506607 is a wasteful number, since it uses less digits than its factorization.

75506607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 75506607 is about 8689.4537803017. The cubic root of 75506607 is about 422.6637335586.

The spelling of 75506607 in words is "seventy-five million, five hundred six thousand, six hundred seven".