71383680 has 288 divisors, whose sum is σ = 271021140. Its totient is φ = 17915904.

The previous prime is 71383679. The next prime is 71383681. The reversal of 71383680 is 8638317.

It is an interprime number because it is at equal distance from previous prime (71383679) and next prime (71383681).

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 419904 = 8424^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (71383681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4199032 + ... + 4199048.

Almost surely, 2^71383680 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 71383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135510570).

71383680 is an abundant number, since it is smaller than the sum of its proper divisors (199637460).

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

71383680 is an frugal number, since it uses more digits than its factorization.

71383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 71383680 is about 8448.8863171426. The cubic root of 71383680 is about 414.8263269040.

The spelling of 71383680 in words is "seventy-one million, three hundred eighty-three thousand, six hundred eighty".