71761472565552 has 960 divisors, whose sum is σ = 268502494740480. Its totient is φ = 17350018560000.

The previous prime is 71761472565427. The next prime is 71761472565569. The reversal of 71761472565552 is 25556527416717.

71761472565552 is a `hidden beast` number, since 7 + 1 + 7 + 6 + 1 + 4 + 72 + 5 + 6 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 71761472565552.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1000556349 + ... + 1000628067.

It is an arithmetic number, because the mean of its divisors is an integer number (279690098688).

Almost surely, 2^{71761472565552} is an apocalyptic number.

71761472565552 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 71761472565552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134251247370240).

71761472565552 is an abundant number, since it is smaller than the sum of its proper divisors (196741022174928).

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

71761472565552 is a wasteful number, since it uses less digits than its factorization.

71761472565552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71894 (or 71885 counting only the distinct ones).

The product of its digits is 123480000, while the sum is 63.

The spelling of 71761472565552 in words is "seventy-one trillion, seven hundred sixty-one billion, four hundred seventy-two million, five hundred sixty-five thousand, five hundred fifty-two".