42712761 has 64 divisors (see below), whose sum is σ = 74547200. Its totient is φ = 21591360.

The previous prime is 42712739. The next prime is 42712777. The reversal of 42712761 is 16721724.

It is not a de Polignac number, because 42712761 - 2⁵ = 42712729 is a prime.

It is the 6536-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (42712711) by changing a digit.

It is a nontrivial repunit in base 6535.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414636 + ... + 414738.

It is an arithmetic number, because the mean of its divisors is an integer number (1164800).

Almost surely, 2^42712761 is an apocalyptic number.

It is an amenable number.

42712761 is a deficient number, since it is larger than the sum of its proper divisors (31834439).

42712761 is a wasteful number, since it uses less digits than its factorization.

42712761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 42712761 is about 6535.5000573789. The cubic root of 42712761 is about 349.5579753232.

The spelling of 42712761 in words is "forty-two million, seven hundred twelve thousand, seven hundred sixty-one".