71287968 has 48 divisors (see below), whose sum is σ = 190675296. Its totient is φ = 23312640.

The previous prime is 71287967. The next prime is 71287999. The reversal of 71287968 is 86978217.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71287961) 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, 1918 + ... + 12093.

It is an arithmetic number, because the mean of its divisors is an integer number (3972402).

Almost surely, 2^71287968 is an apocalyptic number.

It is an amenable number.

71287968 is an abundant number, since it is smaller than the sum of its proper divisors (119387328).

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

71287968 is a wasteful number, since it uses less digits than its factorization.

71287968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14077 (or 14069 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 71287968 is about 8443.2202387478. The cubic root of 71287968 is about 414.6408427908.

The spelling of 71287968 in words is "seventy-one million, two hundred eighty-seven thousand, nine hundred sixty-eight".