71959680 has 288 divisors, whose sum is σ = 276510780. Its totient is φ = 17141760.

The previous prime is 71959619. The next prime is 71959717. The reversal of 71959680 is 8695917.

It can be written as a sum of positive squares in 2 ways, for example, as 66977856 + 4981824 = 8184^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×71959680³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2321265 + ... + 2321295.

Almost surely, 2^71959680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138255390).

71959680 is an abundant number, since it is smaller than the sum of its proper divisors (204551100).

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

71959680 is a wasteful number, since it uses less digits than its factorization.

71959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 71959680 is about 8482.9051627376. The cubic root of 71959680 is about 415.9390936473.

The spelling of 71959680 in words is "seventy-one million, nine hundred fifty-nine thousand, six hundred eighty".