42272640 has 192 divisors, whose sum is σ = 150368400. Its totient is φ = 10936320.

The previous prime is 42272639. The next prime is 42272651. The reversal of 42272640 is 4627224.

It is a happy number.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236071 + ... + 236249.

Almost surely, 2^42272640 is an apocalyptic number.

42272640 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 42272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75184200).

42272640 is an abundant number, since it is smaller than the sum of its proper divisors (108095760).

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

42272640 is a wasteful number, since it uses less digits than its factorization.

42272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

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

The square root of 42272640 is about 6501.7413052197. The cubic root of 42272640 is about 348.3531887880.

Adding to 42272640 its reverse (4627224), we get a palindrome (46899864).

The spelling of 42272640 in words is "forty-two million, two hundred seventy-two thousand, six hundred forty".