71628812352 has 224 divisors, whose sum is σ = 214399733760. Its totient is φ = 23445434880.

The previous prime is 71628812351. The next prime is 71628812369. The reversal of 71628812352 is 25321882617.

71628812352 is a `hidden beast` number, since 7 + 1 + 6 + 288 + 12 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71628812298 and 71628812307.

It is not an unprimeable number, because it can be changed into a prime (71628812351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34719673 + ... + 34721735.

Almost surely, 2^71628812352 is an apocalyptic number.

71628812352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71628812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107199866880).

71628812352 is an abundant number, since it is smaller than the sum of its proper divisors (142770921408).

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

71628812352 is a wasteful number, since it uses less digits than its factorization.

71628812352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2422 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 71628812352 in words is "seventy-one billion, six hundred twenty-eight million, eight hundred twelve thousand, three hundred fifty-two".