42722724 has 48 divisors (see below), whose sum is σ = 109198656. Its totient is φ = 12892800.

The previous prime is 42722711. The next prime is 42722731.

42722724 is nontrivially palindromic in base 10.

42722724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42722724² = 3650462291960352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42722691 and 42722700.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41334 + ... + 42354.

It is an arithmetic number, because the mean of its divisors is an integer number (2274972).

Almost surely, 2^42722724 is an apocalyptic number.

42722724 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 42722724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54599328).

42722724 is an abundant number, since it is smaller than the sum of its proper divisors (66475932).

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

42722724 is a wasteful number, since it uses less digits than its factorization.

42722724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its digits is 12544, while the sum is 30.

The square root of 42722724 is about 6536.2622346414. The cubic root of 42722724 is about 349.5851520207.

It can be divided in two parts, 4272 and 2724, that added together give a palindrome (6996).

The spelling of 42722724 in words is "forty-two million, seven hundred twenty-two thousand, seven hundred twenty-four".