7972608 has 72 divisors (see below), whose sum is σ = 24266368. Its totient is φ = 2276352.

The previous prime is 7972603. The next prime is 7972619. The reversal of 7972608 is 8062797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4635 + ... + 6117.

Almost surely, 2^7972608 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 7972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133184).

7972608 is an abundant number, since it is smaller than the sum of its proper divisors (16293760).

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

7972608 is a wasteful number, since it uses less digits than its factorization.

7972608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7972608 is about 2823.5807054164. The cubic root of 7972608 is about 199.7714723083.

The spelling of 7972608 in words is "seven million, nine hundred seventy-two thousand, six hundred eight".