71477760 has 160 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 18513920.

The previous prime is 71477729. The next prime is 71477771. The reversal of 71477760 is 6777417.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314767 + ... + 314993.

Almost surely, 2^71477760 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 71477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

71477760 is an abundant number, since it is smaller than the sum of its proper divisors (163632192).

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

71477760 is a wasteful number, since it uses less digits than its factorization.

71477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 39.

The square root of 71477760 is about 8454.4520815958. The cubic root of 71477760 is about 415.0084867863.

The spelling of 71477760 in words is "seventy-one million, four hundred seventy-seven thousand, seven hundred sixty".