71530368 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 17842176.

The previous prime is 71530367. The next prime is 71530387. The reversal of 71530368 is 86303517.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71530367) 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 31 ways as a sum of consecutive naturals, for example, 803668 + ... + 803756.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^71530368 is an apocalyptic number.

71530368 is a gapful number since it is divisible by the number (78) 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 71530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

71530368 is an abundant number, since it is smaller than the sum of its proper divisors (175228032).

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

71530368 is a wasteful number, since it uses less digits than its factorization.

71530368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 71530368 is about 8457.5627694981. The cubic root of 71530368 is about 415.1102779464.

It can be divided in two parts, 7 and 1530368, that added together give a triangular number (1530375 = T₁₇₄₉).

The spelling of 71530368 in words is "seventy-one million, five hundred thirty thousand, three hundred sixty-eight".