742137 has 16 divisors (see below), whose sum is σ = 1106688. Its totient is φ = 438480.

The previous prime is 742127. The next prime is 742151. The reversal of 742137 is 731247.

It is not a de Polignac number, because 742137 - 2⁶ = 742073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (742117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158 + ... + 1680.

It is an arithmetic number, because the mean of its divisors is an integer number (69168).

2⁷⁴²¹³⁷ is an apocalyptic number.

It is an amenable number.

742137 is a deficient number, since it is larger than the sum of its proper divisors (364551).

742137 is a wasteful number, since it uses less digits than its factorization.

742137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580.

The product of its digits is 1176, while the sum is 24.

The square root of 742137 is about 861.4737372666. The cubic root of 742137 is about 90.5374019981.

It can be divided in two parts, 74 and 2137, that added together give a triangular number (2211 = T₆₆).

The spelling of 742137 in words is "seven hundred forty-two thousand, one hundred thirty-seven".