71456340 has 72 divisors (see below), whose sum is σ = 211226400. Its totient is φ = 18046656.

The previous prime is 71456303. The next prime is 71456351. The reversal of 71456340 is 4365417.

71456340 = T₄₄₀ + T₄₄₁ + ... + T₈₀₀.

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 = 71456298 and 71456307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20011 + ... + 23309.

It is an arithmetic number, because the mean of its divisors is an integer number (2933700).

Almost surely, 2^71456340 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 71456340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105613200).

71456340 is an abundant number, since it is smaller than the sum of its proper divisors (139770060).

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

71456340 is a wasteful number, since it uses less digits than its factorization.

71456340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 71456340 is about 8453.1851984917. The cubic root of 71456340 is about 414.9670269443.

The spelling of 71456340 in words is "seventy-one million, four hundred fifty-six thousand, three hundred forty".