42527200 has 144 divisors (see below), whose sum is σ = 113898960. Its totient is φ = 15441920.

The previous prime is 42527197. The next prime is 42527213. The reversal of 42527200 is 272524.

It is a congruent number.

It is an unprimeable number.

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, 720771 + ... + 720829.

It is an arithmetic number, because the mean of its divisors is an integer number (790965).

Almost surely, 2^42527200 is an apocalyptic number.

42527200 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 42527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56949480).

42527200 is an abundant number, since it is smaller than the sum of its proper divisors (71371760).

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

42527200 is a wasteful number, since it uses less digits than its factorization.

42527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42527200 is about 6521.2882162959. The cubic root of 42527200 is about 349.0510348106.

Adding to 42527200 its reverse (272524), we get a palindrome (42799724).

It can be divided in two parts, 425 and 27200, that multiplied together give a square (11560000 = 3400²).

The spelling of 42527200 in words is "forty-two million, five hundred twenty-seven thousand, two hundred".