127742 has 8 divisors (see below), whose sum is σ = 200016. Its totient is φ = 61072.

The previous prime is 127739. The next prime is 127747. The reversal of 127742 is 247721.

127742 = T₂₃ + T₂₄ + ... + T₉₁.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1343 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (25002).

2¹²⁷⁷⁴² is an apocalyptic number.

127742 is a deficient number, since it is larger than the sum of its proper divisors (72274).

127742 is a wasteful number, since it uses less digits than its factorization.

127742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802.

The product of its digits is 784, while the sum is 23.

The square root of 127742 is about 357.4101285638. The cubic root of 127742 is about 50.3629588421.

Adding to 127742 its sum of digits (23), we get a triangular number (127765 = T₅₀₅).

The spelling of 127742 in words is "one hundred twenty-seven thousand, seven hundred forty-two", and thus it is an iban number.