71930172408825 has 48 divisors (see below), whose sum is σ = 119535432635520. Its totient is φ = 38165723742720.

The previous prime is 71930172408821. The next prime is 71930172408839. The reversal of 71930172408825 is 52880427103917.

It is a happy number.

It is not a de Polignac number, because 71930172408825 - 2² = 71930172408821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71930172408821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260744316 + ... + 261020034.

It is an arithmetic number, because the mean of its divisors is an integer number (2490321513240).

Almost surely, 2^{71930172408825} is an apocalyptic number.

71930172408825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71930172408825 is a deficient number, since it is larger than the sum of its proper divisors (47605260226695).

71930172408825 is a wasteful number, since it uses less digits than its factorization.

71930172408825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293586 (or 293581 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 71930172408825 in words is "seventy-one trillion, nine hundred thirty billion, one hundred seventy-two million, four hundred eight thousand, eight hundred twenty-five".