42532704 has 72 divisors (see below), whose sum is σ = 126230832. Its totient is φ = 13559040.

The previous prime is 42532673. The next prime is 42532709. The reversal of 42532704 is 40723524.

42532704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42532709) 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 11 ways as a sum of consecutive naturals, for example, 3414 + ... + 9834.

It is an arithmetic number, because the mean of its divisors is an integer number (1753206).

Almost surely, 2^42532704 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 42532704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63115416).

42532704 is an abundant number, since it is smaller than the sum of its proper divisors (83698128).

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

42532704 is a wasteful number, since it uses less digits than its factorization.

42532704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6449 counting only the distinct ones).

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

The square root of 42532704 is about 6521.7102051532. The cubic root of 42532704 is about 349.0660925777.

The spelling of 42532704 in words is "forty-two million, five hundred thirty-two thousand, seven hundred four".