71923138560 has 912 divisors, whose sum is σ = 311451643776. Its totient is φ = 14948499456.

The previous prime is 71923138559. The next prime is 71923138601. The reversal of 71923138560 is 6583132917.

71923138560 is a `hidden beast` number, since 71 + 9 + 2 + 3 + 13 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073479647 + ... + 1073479713.

Almost surely, 2^71923138560 is an apocalyptic number.

71923138560 is a gapful number since it is divisible by the number (70) 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 71923138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155725821888).

71923138560 is an abundant number, since it is smaller than the sum of its proper divisors (239528505216).

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

71923138560 is an equidigital number, since it uses as much as digits as its factorization.

71923138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 71923138560 in words is "seventy-one billion, nine hundred twenty-three million, one hundred thirty-eight thousand, five hundred sixty".