42766724 has 72 divisors (see below), whose sum is σ = 101352384. Its totient is φ = 15364800.

The previous prime is 42766699. The next prime is 42766727.

42766724 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42766727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43559 + ... + 44529.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 2^42766724 is an apocalyptic number.

42766724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42766724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192).

42766724 is an abundant number, since it is smaller than the sum of its proper divisors (58585660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42766724 is a wasteful number, since it uses less digits than its factorization.

42766724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1004 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The square root of 42766724 is about 6539.6272065004. The cubic root of 42766724 is about 349.7051230629.

The spelling of 42766724 in words is "forty-two million, seven hundred sixty-six thousand, seven hundred twenty-four".