7282582132 has 48 divisors (see below), whose sum is σ = 14920109568. Its totient is φ = 3045450240.

The previous prime is 7282582123. The next prime is 7282582133. The reversal of 7282582132 is 2312852827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7282582133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435282 + ... + 451702.

It is an arithmetic number, because the mean of its divisors is an integer number (310835616).

Almost surely, 2^7282582132 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 7282582132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460054784).

7282582132 is an abundant number, since it is smaller than the sum of its proper divisors (7637527436).

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

7282582132 is a wasteful number, since it uses less digits than its factorization.

7282582132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16816 (or 16814 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 7282582132 is about 85338.0462162100. The cubic root of 7282582132 is about 1938.3333306684. Note that the first 5 decimals are identical.

The spelling of 7282582132 in words is "seven billion, two hundred eighty-two million, five hundred eighty-two thousand, one hundred thirty-two".