71484140 has 144 divisors (see below), whose sum is σ = 195197184. Its totient is φ = 21772800.

The previous prime is 71484113. The next prime is 71484143. The reversal of 71484140 is 4148417.

It is not an unprimeable number, because it can be changed into a prime (71484143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394850 + ... + 395030.

It is an arithmetic number, because the mean of its divisors is an integer number (1355536).

Almost surely, 2^71484140 is an apocalyptic number.

71484140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71484140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97598592).

71484140 is an abundant number, since it is smaller than the sum of its proper divisors (123713044).

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

71484140 is a wasteful number, since it uses less digits than its factorization.

71484140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 71484140 is about 8454.8293891716. The cubic root of 71484140 is about 415.0208341019.

The spelling of 71484140 in words is "seventy-one million, four hundred eighty-four thousand, one hundred forty".