8125198272 has 168 divisors, whose sum is σ = 23793181776. Its totient is φ = 2650374144.

The previous prime is 8125198259. The next prime is 8125198303. The reversal of 8125198272 is 2728915218.

It is a super-3 number, since 3×8125198272³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6675808 + ... + 6677024.

It is an arithmetic number, because the mean of its divisors is an integer number (141626082).

Almost surely, 2^8125198272 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 8125198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896590888).

8125198272 is an abundant number, since it is smaller than the sum of its proper divisors (15667983504).

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

8125198272 is a wasteful number, since it uses less digits than its factorization.

8125198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1462 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 8125198272 is about 90139.8816950633. The cubic root of 8125198272 is about 2010.3792319274.

The spelling of 8125198272 in words is "eight billion, one hundred twenty-five million, one hundred ninety-eight thousand, two hundred seventy-two".