71488160 has 48 divisors (see below), whose sum is σ = 169605576. Its totient is φ = 28474368.

The previous prime is 71488121. The next prime is 71488169. The reversal of 71488160 is 6188417.

It can be written as a sum of positive squares in 4 ways, for example, as 50069776 + 21418384 = 7076^2 + 4628^2 .

It is a super-2 number, since 2×71488160² = 10221114040371200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71488160.

It is not an unprimeable number, because it can be changed into a prime (71488169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43514 + ... + 45126.

Almost surely, 2^71488160 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 71488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84802788).

71488160 is an abundant number, since it is smaller than the sum of its proper divisors (98117416).

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

71488160 is a wasteful number, since it uses less digits than its factorization.

71488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 71488160 is about 8455.0671197809. The cubic root of 71488160 is about 415.0286136946.

The spelling of 71488160 in words is "seventy-one million, four hundred eighty-eight thousand, one hundred sixty".