7671265272 has 128 divisors (see below), whose sum is σ = 23281171200. Its totient is φ = 2321136000.

The previous prime is 7671265243. The next prime is 7671265307. The reversal of 7671265272 is 2725621767.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891647 + ... + 1895697.

It is an arithmetic number, because the mean of its divisors is an integer number (181884150).

Almost surely, 2^7671265272 is an apocalyptic number.

7671265272 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 7671265272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640585600).

7671265272 is an abundant number, since it is smaller than the sum of its proper divisors (15609905928).

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

7671265272 is a wasteful number, since it uses less digits than its factorization.

7671265272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 4864 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 7671265272 is about 87585.7595274483. The cubic root of 7671265272 is about 1972.2214003142.

The spelling of 7671265272 in words is "seven billion, six hundred seventy-one million, two hundred sixty-five thousand, two hundred seventy-two".