75607 has 6 divisors (see below), whose sum is σ = 88008. Its totient is φ = 64764.

The previous prime is 75583. The next prime is 75611. The reversal of 75607 is 70657.

It is not a de Polignac number, because 75607 - 2⁷ = 75479 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 723 + ... + 820.

It is an arithmetic number, because the mean of its divisors is an integer number (14668).

2⁷⁵⁶⁰⁷ is an apocalyptic number.

75607 is a deficient number, since it is larger than the sum of its proper divisors (12401).

75607 is a wasteful number, since it uses less digits than its factorization.

75607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 75607 is about 274.9672707796. The cubic root of 75607 is about 42.2850974074.

Adding to 75607 its product of nonzero digits (1470), we get a palindrome (77077).

Subtracting from 75607 its reverse (70657), we obtain a triangular number (4950 = T₉₉).

The spelling of 75607 in words is "seventy-five thousand, six hundred seven".