71241984 has 144 divisors (see below), whose sum is σ = 230072640. Its totient is φ = 21565440.

The previous prime is 71241979. The next prime is 71242037. The reversal of 71241984 is 48914217.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 75564 + ... + 76500.

Almost surely, 2^71241984 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 71241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115036320).

71241984 is an abundant number, since it is smaller than the sum of its proper divisors (158830656).

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

71241984 is a wasteful number, since it uses less digits than its factorization.

71241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 953 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 71241984 is about 8440.4966678508. The cubic root of 71241984 is about 414.5516695115.

The spelling of 71241984 in words is "seventy-one million, two hundred forty-one thousand, nine hundred eighty-four".