71950482240 has 448 divisors, whose sum is σ = 284576495616. Its totient is φ = 14996348928.

The previous prime is 71950482229. The next prime is 71950482259. The reversal of 71950482240 is 4228405917.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 71950482192 and 71950482201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7245919 + ... + 7255841.

It is an arithmetic number, because the mean of its divisors is an integer number (635215392).

Almost surely, 2^71950482240 is an apocalyptic number.

71950482240 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 71950482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142288247808).

71950482240 is an abundant number, since it is smaller than the sum of its proper divisors (212626013376).

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

71950482240 is a wasteful number, since it uses less digits than its factorization.

71950482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 71950482240 in words is "seventy-one billion, nine hundred fifty million, four hundred eighty-two thousand, two hundred forty".