42252732 has 96 divisors (see below), whose sum is σ = 117600000. Its totient is φ = 13079232.

The previous prime is 42252731. The next prime is 42252733. The reversal of 42252732 is 23725224.

42252732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42252731) and next prime (42252733).

It is a super-2 number, since 2×42252732² = 3570586722927648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42252696 and 42252705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120894 + ... + 121242.

It is an arithmetic number, because the mean of its divisors is an integer number (1225000).

Almost surely, 2^42252732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42252732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800000).

42252732 is an abundant number, since it is smaller than the sum of its proper divisors (75347268).

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

42252732 is a wasteful number, since it uses less digits than its factorization.

42252732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 42252732 is about 6500.2101504490. The cubic root of 42252732 is about 348.2984953801.

Adding to 42252732 its reverse (23725224), we get a palindrome (65977956).

The spelling of 42252732 in words is "forty-two million, two hundred fifty-two thousand, seven hundred thirty-two".