42752688 has 120 divisors (see below), whose sum is σ = 128835504. Its totient is φ = 12165120.

The previous prime is 42752687. The next prime is 42752693. The reversal of 42752688 is 88625724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42752681) 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, 98520 + ... + 98952.

Almost surely, 2^42752688 is an apocalyptic number.

42752688 is a gapful number since it is divisible by the number (48) 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 42752688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417752).

42752688 is an abundant number, since it is smaller than the sum of its proper divisors (86082816).

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

42752688 is a wasteful number, since it uses less digits than its factorization.

42752688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 466 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 42752688 is about 6538.5539685775. The cubic root of 42752688 is about 349.6668612421. Note that the first 3 decimals are identical.

The spelling of 42752688 in words is "forty-two million, seven hundred fifty-two thousand, six hundred eighty-eight".