7882072 has 32 divisors (see below), whose sum is σ = 16505280. Its totient is φ = 3497760.

The previous prime is 7882051. The next prime is 7882097. The reversal of 7882072 is 2702887.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2743 + ... + 4825.

It is an arithmetic number, because the mean of its divisors is an integer number (515790).

Almost surely, 2^7882072 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 7882072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252640).

7882072 is an abundant number, since it is smaller than the sum of its proper divisors (8623208).

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

7882072 is a wasteful number, since it uses less digits than its factorization.

7882072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 7882072 is about 2807.5028049852. The cubic root of 7882072 is about 199.0123979044.

The spelling of 7882072 in words is "seven million, eight hundred eighty-two thousand, seventy-two".