7651872 has 54 divisors (see below), whose sum is σ = 21894327. Its totient is φ = 2534976.

The previous prime is 7651867. The next prime is 7651873. The reversal of 7651872 is 2781567.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7651872 is a `hidden beast` number, since 76 + 518 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3825936 + 3825936 = 1956^2 + 1956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1956.

It is a super-2 number, since 2×7651872² = 117102290208768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (23520) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (7651873) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46863 + ... + 47025.

Almost surely, 2^7651872 is an apocalyptic number.

7651872 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 7651872

7651872 is an abundant number, since it is smaller than the sum of its proper divisors (14242455).

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

7651872 is a wasteful number, since it uses less digits than its factorization.

7651872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 168 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 7651872 is about 2766.2017280018. The cubic root of 7651872 is about 197.0558045759.

The spelling of 7651872 in words is "seven million, six hundred fifty-one thousand, eight hundred seventy-two".