71948089224 has 192 divisors, whose sum is σ = 225364538880. Its totient is φ = 20528640000.

The previous prime is 71948089189. The next prime is 71948089237. The reversal of 71948089224 is 42298084917.

71948089224 is a `hidden beast` number, since 71 + 9 + 480 + 8 + 92 + 2 + 4 = 666.

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, 868824 + ... + 948024.

It is an arithmetic number, because the mean of its divisors is an integer number (1173773640).

Almost surely, 2^71948089224 is an apocalyptic number.

71948089224 is a gapful number since it is divisible by the number (74) 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 71948089224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112682269440).

71948089224 is an abundant number, since it is smaller than the sum of its proper divisors (153416449656).

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

71948089224 is a wasteful number, since it uses less digits than its factorization.

71948089224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79292 (or 79285 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 71948089224 in words is "seventy-one billion, nine hundred forty-eight million, eighty-nine thousand, two hundred twenty-four".