75407 has 2 divisors, whose sum is σ = 75408. Its totient is φ = 75406.

The previous prime is 75403. The next prime is 75431. The reversal of 75407 is 70457.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (70457) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75407 - 2² = 75403 is a prime.

It is a Chen prime.

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75407.

It is not a weakly prime, because it can be changed into another prime (75401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37703 + 37704.

It is an arithmetic number, because the mean of its divisors is an integer number (37704).

2⁷⁵⁴⁰⁷ is an apocalyptic number.

75407 is a deficient number, since it is larger than the sum of its proper divisors (1).

75407 is an equidigital number, since it uses as much as digits as its factorization.

75407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 75407 is about 274.6033503073. The cubic root of 75407 is about 42.2477794895.

Subtracting from 75407 its reverse (70457), we obtain a triangular number (4950 = T₉₉).

The spelling of 75407 in words is "seventy-five thousand, four hundred seven".