71378048 has 128 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 28385280.

The previous prime is 71378033. The next prime is 71378057. The reversal of 71378048 is 84087317.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 1065311 + ... + 1065377.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 2^71378048 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 71378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

71378048 is an abundant number, since it is smaller than the sum of its proper divisors (103409152).

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

71378048 is a wasteful number, since it uses less digits than its factorization.

71378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 71378048 is about 8448.5530122027. The cubic root of 71378048 is about 414.8154170185.

The spelling of 71378048 in words is "seventy-one million, three hundred seventy-eight thousand, forty-eight".