71526367872 has 256 divisors, whose sum is σ = 219086208000. Its totient is φ = 22956272640.

The previous prime is 71526367841. The next prime is 71526367889. The reversal of 71526367872 is 27876362517.

It is a happy number.

71526367872 is a `hidden beast` number, since 7 + 1 + 526 + 36 + 7 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10547779 + ... + 10554557.

It is an arithmetic number, because the mean of its divisors is an integer number (855805500).

Almost surely, 2^71526367872 is an apocalyptic number.

71526367872 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 71526367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109543104000).

71526367872 is an abundant number, since it is smaller than the sum of its proper divisors (147559840128).

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

71526367872 is a wasteful number, since it uses less digits than its factorization.

71526367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6898 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 71526367872 in words is "seventy-one billion, five hundred twenty-six million, three hundred sixty-seven thousand, eight hundred seventy-two".