71496960 has 144 divisors (see below), whose sum is σ = 234193344. Its totient is φ = 18579456.

The previous prime is 71496959. The next prime is 71496979. The reversal of 71496960 is 6969417.

It is a super-2 number, since 2×71496960² = 10223630578483200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164904 + ... + 165336.

Almost surely, 2^71496960 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 71496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117096672).

71496960 is an abundant number, since it is smaller than the sum of its proper divisors (162696384).

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

71496960 is a wasteful number, since it uses less digits than its factorization.

71496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 71496960 is about 8455.5875017647. The cubic root of 71496960 is about 415.0456426308.

The spelling of 71496960 in words is "seventy-one million, four hundred ninety-six thousand, nine hundred sixty".