71248968 has 96 divisors (see below), whose sum is σ = 221707200. Its totient is φ = 20248704.

The previous prime is 71248967. The next prime is 71248987. The reversal of 71248968 is 86984217.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71248967) 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, 187803 + ... + 188181.

It is an arithmetic number, because the mean of its divisors is an integer number (2309450).

Almost surely, 2^71248968 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 71248968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110853600).

71248968 is an abundant number, since it is smaller than the sum of its proper divisors (150458232).

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

71248968 is a wasteful number, since it uses less digits than its factorization.

71248968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 71248968 is about 8440.9103774415. The cubic root of 71248968 is about 414.5652155232.

The spelling of 71248968 in words is "seventy-one million, two hundred forty-eight thousand, nine hundred sixty-eight".