42872721700 has 72 divisors (see below), whose sum is σ = 94705500960. Its totient is φ = 16841529600.

The previous prime is 42872721679. The next prime is 42872721707. The reversal of 42872721700 is 712727824.

It is a super-3 number, since 3×42872721700³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42872721707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7035655 + ... + 7041745.

It is an arithmetic number, because the mean of its divisors is an integer number (1315354180).

Almost surely, 2^42872721700 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 42872721700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47352750480).

42872721700 is an abundant number, since it is smaller than the sum of its proper divisors (51832779260).

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

42872721700 is a wasteful number, since it uses less digits than its factorization.

42872721700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 40.

The spelling of 42872721700 in words is "forty-two billion, eight hundred seventy-two million, seven hundred twenty-one thousand, seven hundred".