5072095735968 has 96 divisors (see below), whose sum is σ = 14097951141120. Its totient is φ = 1591188316160.

The previous prime is 5072095735961. The next prime is 5072095735969. The reversal of 5072095735968 is 8695375902705.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5072095735899 and 5072095735908.

It is not an unprimeable number, because it can be changed into a prime (5072095735961) 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, 81828508 + ... + 81890468.

It is an arithmetic number, because the mean of its divisors is an integer number (146853657720).

Almost surely, 2^{5072095735968} is an apocalyptic number.

It is an amenable number.

5072095735968 is an abundant number, since it is smaller than the sum of its proper divisors (9025855405152).

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

5072095735968 is a wasteful number, since it uses less digits than its factorization.

5072095735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112150 (or 112142 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 66.

The spelling of 5072095735968 in words is "five trillion, seventy-two billion, ninety-five million, seven hundred thirty-five thousand, nine hundred sixty-eight".