72146404825 has 24 divisors (see below), whose sum is σ = 97609288320. Its totient is φ = 52462113600.

The previous prime is 72146404801. The next prime is 72146404829. The reversal of 72146404825 is 52840464127.

It is not a de Polignac number, because 72146404825 - 2⁷ = 72146404697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72146404829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2258112 + ... + 2289838.

It is an arithmetic number, because the mean of its divisors is an integer number (4067053680).

Almost surely, 2^72146404825 is an apocalyptic number.

It is an amenable number.

72146404825 is a deficient number, since it is larger than the sum of its proper divisors (25462883495).

72146404825 is a wasteful number, since it uses less digits than its factorization.

72146404825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40017 (or 40012 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 72146404825 in words is "seventy-two billion, one hundred forty-six million, four hundred four thousand, eight hundred twenty-five".