7672105728 has 144 divisors (see below), whose sum is σ = 25929039360. Its totient is φ = 2192016384.

The previous prime is 7672105723. The next prime is 7672105799. The reversal of 7672105728 is 8275012767.

7672105728 is a `hidden beast` number, since 7 + 6 + 72 + 1 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7672105728² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7672105723) 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, 30900 + ... + 127667.

Almost surely, 2^7672105728 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 7672105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964519680).

7672105728 is an abundant number, since it is smaller than the sum of its proper divisors (18256933632).

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

7672105728 is a wasteful number, since it uses less digits than its factorization.

7672105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158599 (or 158579 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 7672105728 is about 87590.5572992888. The cubic root of 7672105728 is about 1972.2934225391.

The spelling of 7672105728 in words is "seven billion, six hundred seventy-two million, one hundred five thousand, seven hundred twenty-eight".