71592480 has 144 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 18829824.

The previous prime is 71592461. The next prime is 71592481. The reversal of 71592480 is 8429517.

It is a tau number, because it is divible by the number of its divisors (144).

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 (71592481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119221 + ... + 119819.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^71592480 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 71592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

71592480 is an abundant number, since it is smaller than the sum of its proper divisors (176073120).

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

71592480 is a wasteful number, since it uses less digits than its factorization.

71592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 71592480 is about 8461.2339525627. The cubic root of 71592480 is about 415.2303941575.

The spelling of 71592480 in words is "seventy-one million, five hundred ninety-two thousand, four hundred eighty".