71484240 has 80 divisors (see below), whose sum is σ = 223200000. Its totient is φ = 18925056.

The previous prime is 71484229. The next prime is 71484241. The reversal of 71484240 is 4248417.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71484198 and 71484207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71484241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34761 + ... + 36759.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 2^71484240 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 71484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600000).

71484240 is an abundant number, since it is smaller than the sum of its proper divisors (151715760).

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

71484240 is a wasteful number, since it uses less digits than its factorization.

71484240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 71484240 is about 8454.8353029494. The cubic root of 71484240 is about 415.0210276276.

The spelling of 71484240 in words is "seventy-one million, four hundred eighty-four thousand, two hundred forty".