42372900 has 162 divisors, whose sum is σ = 140401170. Its totient is φ = 10686720.

The previous prime is 42372893. The next prime is 42372901. The reversal of 42372900 is 927324.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 42068196 = 552^2 + 6486^2 .

It is not an unprimeable number, because it can be changed into a prime (42372901) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 476056 + ... + 476144.

Almost surely, 2^42372900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42372900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70200585).

42372900 is an abundant number, since it is smaller than the sum of its proper divisors (98028270).

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

42372900 is a wasteful number, since it uses less digits than its factorization.

42372900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42372900 is about 6509.4469811191. The cubic root of 42372900 is about 348.6283732040.

The spelling of 42372900 in words is "forty-two million, three hundred seventy-two thousand, nine hundred".