71048880 has 320 divisors, whose sum is σ = 289505280. Its totient is φ = 15676416.

The previous prime is 71048867. The next prime is 71048881. The reversal of 71048880 is 8884017.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71048881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559377 + ... + 559503.

It is an arithmetic number, because the mean of its divisors is an integer number (904704).

Almost surely, 2^71048880 is an apocalyptic number.

71048880 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 71048880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144752640).

71048880 is an abundant number, since it is smaller than the sum of its proper divisors (218456400).

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

71048880 is a wasteful number, since it uses less digits than its factorization.

71048880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 71048880 is about 8429.0497685089. The cubic root of 71048880 is about 414.1767781071.

The spelling of 71048880 in words is "seventy-one million, forty-eight thousand, eight hundred eighty".