71599120 has 80 divisors (see below), whose sum is σ = 173238912. Its totient is φ = 27499520.

The previous prime is 71599117. The next prime is 71599123. The reversal of 71599120 is 2199517.

It is an interprime number because it is at equal distance from previous prime (71599117) and next prime (71599123).

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71599123) 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, 272109 + ... + 272371.

Almost surely, 2^71599120 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 71599120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456).

71599120 is an abundant number, since it is smaller than the sum of its proper divisors (101639792).

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

71599120 is a wasteful number, since it uses less digits than its factorization.

71599120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 71599120 is about 8461.6263212222. The cubic root of 71599120 is about 415.2432309088.

The spelling of 71599120 in words is "seventy-one million, five hundred ninety-nine thousand, one hundred twenty".