71084720 has 80 divisors (see below), whose sum is σ = 197130240. Its totient is φ = 23308032.

The previous prime is 71084711. The next prime is 71084723. The reversal of 71084720 is 2748017.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71084723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10121 + ... + 15639.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128).

Almost surely, 2^71084720 is an apocalyptic number.

71084720 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 71084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98565120).

71084720 is an abundant number, since it is smaller than the sum of its proper divisors (126045520).

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

71084720 is a wasteful number, since it uses less digits than its factorization.

71084720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 71084720 is about 8431.1754815091. The cubic root of 71084720 is about 414.2464090450.

The spelling of 71084720 in words is "seventy-one million, eighty-four thousand, seven hundred twenty".