71982048 has 48 divisors (see below), whose sum is σ = 189737856. Its totient is φ = 23894400.

The previous prime is 71982047. The next prime is 71982067. The reversal of 71982048 is 84028917.

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

It is a junction number, because it is equal to n+sod(n) for n = 71981997 and 71982015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71982047) 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, 23823 + ... + 26673.

It is an arithmetic number, because the mean of its divisors is an integer number (3952872).

Almost surely, 2^71982048 is an apocalyptic number.

It is an amenable number.

71982048 is an abundant number, since it is smaller than the sum of its proper divisors (117755808).

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

71982048 is a wasteful number, since it uses less digits than its factorization.

71982048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 71982048 is about 8484.2234765475. The cubic root of 71982048 is about 415.9821861208.

The spelling of 71982048 in words is "seventy-one million, nine hundred eighty-two thousand, forty-eight".