7872084432 has 120 divisors (see below), whose sum is σ = 22302635784. Its totient is φ = 2591834112.

The previous prime is 7872084431. The next prime is 7872084457. The reversal of 7872084432 is 2344802787.

7872084432 is a `hidden beast` number, since 7 + 8 + 7 + 208 + 4 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1509788736 + 6362295696 = 38856^2 + 79764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872084431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6068808 + ... + 6070104.

Almost surely, 2^7872084432 is an apocalyptic number.

7872084432 is a gapful number since it is divisible by the number (72) 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 7872084432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11151317892).

7872084432 is an abundant number, since it is smaller than the sum of its proper divisors (14430551352).

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

7872084432 is a wasteful number, since it uses less digits than its factorization.

7872084432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 7872084432 is about 88724.7678610657. The cubic root of 7872084432 is about 1989.2830453478.

The spelling of 7872084432 in words is "seven billion, eight hundred seventy-two million, eighty-four thousand, four hundred thirty-two".