75429 has 18 divisors (see below), whose sum is σ = 119730. Its totient is φ = 45696.

The previous prime is 75407. The next prime is 75431. The reversal of 75429 is 92457.

It can be written as a sum of positive squares in 3 ways, for example, as 31329 + 44100 = 177^2 + 210^2 .

It is not a de Polignac number, because 75429 - 2¹² = 71333 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75479) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2587 + ... + 2615.

2⁷⁵⁴²⁹ is an apocalyptic number.

75429 is the 174-th heptagonal number.

It is an amenable number.

75429 is a deficient number, since it is larger than the sum of its proper divisors (44301).

75429 is a wasteful number, since it uses less digits than its factorization.

75429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 75429 is about 274.6434051639. The cubic root of 75429 is about 42.2518876880.

The spelling of 75429 in words is "seventy-five thousand, four hundred twenty-nine".