42712200 has 144 divisors (see below), whose sum is σ = 146168100. Its totient is φ = 11174400.

The previous prime is 42712183. The next prime is 42712207. The reversal of 42712200 is 221724.

It can be written as a sum of positive squares in 6 ways, for example, as 1726596 + 40985604 = 1314^2 + 6402^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42712207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109606 + ... + 109994.

Almost surely, 2^42712200 is an apocalyptic number.

42712200 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 42712200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73084050).

42712200 is an abundant number, since it is smaller than the sum of its proper divisors (103455900).

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

42712200 is a wasteful number, since it uses less digits than its factorization.

42712200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42712200 is about 6535.4571377984. The cubic root of 42712200 is about 349.5564449227.

Adding to 42712200 its reverse (221724), we get a palindrome (42933924).

The spelling of 42712200 in words is "forty-two million, seven hundred twelve thousand, two hundred".