71484336 has 240 divisors, whose sum is σ = 261233280. Its totient is φ = 18506880.

The previous prime is 71484323. The next prime is 71484349. The reversal of 71484336 is 63348417.

It is an interprime number because it is at equal distance from previous prime (71484323) and next prime (71484349).

It is a super-2 number, since 2×71484336² = 10220020586721792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71484336.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232695 + ... + 233001.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 2^71484336 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 71484336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

71484336 is an abundant number, since it is smaller than the sum of its proper divisors (189748944).

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

71484336 is a wasteful number, since it uses less digits than its factorization.

71484336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 71484336 is about 8454.8409801722. The cubic root of 71484336 is about 415.0212134122.

The spelling of 71484336 in words is "seventy-one million, four hundred eighty-four thousand, three hundred thirty-six".