42727040 has 64 divisors (see below), whose sum is σ = 103311720. Its totient is φ = 16896000.

The previous prime is 42727007. The next prime is 42727051. The reversal of 42727040 is 4072724.

It can be written as a sum of positive squares in 4 ways, for example, as 42719296 + 7744 = 6536^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64310 + ... + 64970.

Almost surely, 2^42727040 is an apocalyptic number.

42727040 is a gapful number since it is divisible by the number (40) 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 42727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51655860).

42727040 is an abundant number, since it is smaller than the sum of its proper divisors (60584680).

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

42727040 is a wasteful number, since it uses less digits than its factorization.

42727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 42727040 is about 6536.5923844156. The cubic root of 42727040 is about 349.5969237319.

Adding to 42727040 its reverse (4072724), we get a palindrome (46799764).

The spelling of 42727040 in words is "forty-two million, seven hundred twenty-seven thousand, forty".