42762240 has 192 divisors, whose sum is σ = 153351900. Its totient is φ = 11010048.

The previous prime is 42762169. The next prime is 42762241. The reversal of 42762240 is 4226724.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 147456 = 6528^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (42762241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474546 + ... + 1474574.

Almost surely, 2^42762240 is an apocalyptic number.

42762240 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 42762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76675950).

42762240 is an abundant number, since it is smaller than the sum of its proper divisors (110589660).

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

42762240 is an equidigital number, since it uses as much as digits as its factorization.

42762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42762240 is about 6539.2843645157. The cubic root of 42762240 is about 349.6929006897.

Adding to 42762240 its reverse (4226724), we get a palindrome (46988964).

It can be divided in two parts, 4 and 2762240, that added together give a square (2762244 = 1662²).

The spelling of 42762240 in words is "forty-two million, seven hundred sixty-two thousand, two hundred forty".