42872400 has 90 divisors (see below), whose sum is σ = 148791630. Its totient is φ = 11431680.

The previous prime is 42872399. The next prime is 42872491. The reversal of 42872400 is 427824.

It can be written as a sum of positive squares in 3 ways, for example, as 1192464 + 41679936 = 1092^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 2355 + ... + 9554.

Almost surely, 2^42872400 is an apocalyptic number.

42872400 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 42872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74395815).

42872400 is an abundant number, since it is smaller than the sum of its proper divisors (105919230).

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

42872400 is a wasteful number, since it uses less digits than its factorization.

42872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42872400 is about 6547.7018869219. The cubic root of 42872400 is about 349.9929250271.

The spelling of 42872400 in words is "forty-two million, eight hundred seventy-two thousand, four hundred".