71775529373952 has 324 divisors, whose sum is σ = 217484630148240. Its totient is φ = 23636875410432.

The previous prime is 71775529373837. The next prime is 71775529373981. The reversal of 71775529373952 is 25937392557717.

71775529373952 is a `hidden beast` number, since 7 + 1 + 7 + 7 + 5 + 529 + 3 + 7 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×71775529373952² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139150699 + ... + 139665557.

Almost surely, 2^{71775529373952} is an apocalyptic number.

71775529373952 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 71775529373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108742315074120).

71775529373952 is an abundant number, since it is smaller than the sum of its proper divisors (145709100774288).

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

71775529373952 is an frugal number, since it uses more digits than its factorization.

71775529373952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514982 (or 514947 counting only the distinct ones).

The product of its digits is 875164500, while the sum is 72.

The spelling of 71775529373952 in words is "seventy-one trillion, seven hundred seventy-five billion, five hundred twenty-nine million, three hundred seventy-three thousand, nine hundred fifty-two".