7648872 has 64 divisors (see below), whose sum is σ = 23846400. Its totient is φ = 1986240.

The previous prime is 7648871. The next prime is 7648877. The reversal of 7648872 is 2788467.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 7⁷ + 6⁵ + 4² + 8² + 8⁴ + 7⁸ + 2²⁰ .

It is not an unprimeable number, because it can be changed into a prime (7648871) 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, 222 + ... + 3917.

It is an arithmetic number, because the mean of its divisors is an integer number (372600).

Almost surely, 2^7648872 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 7648872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923200).

7648872 is an abundant number, since it is smaller than the sum of its proper divisors (16197528).

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

7648872 is a wasteful number, since it uses less digits than its factorization.

7648872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4162 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 7648872 is about 2765.6594150401. The cubic root of 7648872 is about 197.0300485828.

The spelling of 7648872 in words is "seven million, six hundred forty-eight thousand, eight hundred seventy-two".