42755724 has 72 divisors (see below), whose sum is σ = 119180880. Its totient is φ = 12816000.

The previous prime is 42755723. The next prime is 42755729.

It is a happy number.

42755724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42755723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39462 + ... + 40530.

It is an arithmetic number, because the mean of its divisors is an integer number (1655290).

Almost surely, 2^42755724 is an apocalyptic number.

42755724 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 42755724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590440).

42755724 is an abundant number, since it is smaller than the sum of its proper divisors (76425156).

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

42755724 is a wasteful number, since it uses less digits than its factorization.

42755724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1186 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 42755724 is about 6538.7861258799. The cubic root of 42755724 is about 349.6751380196.

It can be divided in two parts, 4275 and 5724, that added together give a palindrome (9999).

The spelling of 42755724 in words is "forty-two million, seven hundred fifty-five thousand, seven hundred twenty-four".