71406720 has 576 divisors, whose sum is σ = 326514240. Its totient is φ = 14192640.

The previous prime is 71406691. The next prime is 71406721. The reversal of 71406720 is 2760417.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×71406720³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71406721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3104629 + ... + 3104651.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 2^71406720 is an apocalyptic number.

71406720 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 71406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

71406720 is an abundant number, since it is smaller than the sum of its proper divisors (255107520).

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

71406720 is a wasteful number, since it uses less digits than its factorization.

71406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71406720 is about 8450.2497004526. The cubic root of 71406720 is about 414.8709522790.

The spelling of 71406720 in words is "seventy-one million, four hundred six thousand, seven hundred twenty".