71921848320 has 832 divisors, whose sum is σ = 309690570240. Its totient is φ = 15458107392.

The previous prime is 71921848283. The next prime is 71921848331. The reversal of 71921848320 is 2384812917.

It is a happy number.

71921848320 is a `hidden beast` number, since 71 + 9 + 218 + 48 + 320 = 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 63 ways as a sum of consecutive naturals, for example, 65801694 + ... + 65802786.

Almost surely, 2^71921848320 is an apocalyptic number.

71921848320 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 71921848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154845285120).

71921848320 is an abundant number, since it is smaller than the sum of its proper divisors (237768721920).

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

71921848320 is a wasteful number, since it uses less digits than its factorization.

71921848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 71921848320 in words is "seventy-one billion, nine hundred twenty-one million, eight hundred forty-eight thousand, three hundred twenty".